Showing posts with label cake number. Show all posts
Showing posts with label cake number. Show all posts

Tuesday, November 4, 2014

1160

1160 = 2 x 2 x 2 x 5 x 29.

1160 is divisible by the sum of its prime factors (40) (A046346).

1160 is an octagonal number (A000567).

1160 is a cake number (A000125). It is the maximum number of pieces into which a cylindrical cake can be cut with 19 straight-plane cuts.

The sum of the squares of the first 1160 primes is prime (A098561).

1160 is the smaller of two consecutive numbers each divisible by a cube (A068140).

1160 is 1120222 in base 3, 102020 in base 4, and 2210 in base 8. It is 3245 in base 7. It is 808 in base 12 and 404 in base 17. It is 488 in base 16.


Source: Number Gossip

Monday, December 2, 2013

1794

1794 = 2 x 3 x 13 x 23.

1794 is a nonagonal number (A001106).

1794 is a cake number (A000125). 1794 is the number of pieces resulting from 22 planar cuts through a cube (or cake).

1794 is an octagonal pyramidal number (A002414).

1794 has a base 5 representation (24134) that begins with its base 9 representation (2413).

1794 divides 474 - 1.


Source: Number Gossip

Thursday, May 2, 2013

470

470 = 2 x 5 x 47.

470 is a cake number, the maximum number of pieces into which a cylindrical cake can be cut with 14 straight-plane cuts (A000125).

470 has a base 3 representation (122102) that ends with its base 6 representation (2102).

470 is the sum of the first 24 non-primes (A051349).

470 is a number n such that its square (220900) is a sum of two successive primes (A074294).


Source: Number Gossip

Friday, February 22, 2013

697

697 = 17 x 41.

697 is a heptagonal number.

697 is a cake number.

697 is a 12-hyperperfect number.

697 has two representations as a sum of two squares: 697 = 112 + 242 = 162 + 212.

697 is the hypotenuse of two primitive Pythagorean triples: 6972 = 1852 + 6722 = 4552 + 5282.


Source: What's Special About This Number? 

Friday, January 11, 2013

988

988 = 2 x 2 x 13 x 19.

988 is the maximum number of pieces into which 18 cuts can divide a cube (A000125).

988 is the sum of four consecutive primes (A034963): 988 = 239 + 241 + 251 + 257.

988 is the number of walks of length 6 on a square lattice, starting at the origin, staying on points x greater than or equal to 0 and y less than or equal to x (A060900).

988 and the 988th prime (7817) have only one digit in common (A107939): 8.


Source: What's Special About This Number?

Wednesday, November 23, 2011

834

834 = 2 x 3 x 139.

834 is a divisor of 436 - 1.

834 is a cake number. 834 is the maximum number of regions into which 17 cuts can divide a cube.

834 is the sum of six consecutive primes: 834 = 127 + 131 + 137 + 139 + 149 + 151.

The Volvo PV834 was one of a series of commercial vehicles, including ambulances, produced in the 1950s.

Thursday, August 18, 2011

378

378 = 2 x 33 x 7.

378 is the 27th triangular number. It is also a hexagonal number and the smallest Smith triangular number.

378 is the smallest three-digit number in which the sum of the digits is equal to the sum of the prime factors: 3 + 7 + 8 = 2 + 3 + 3 + 3 + 7 = 18.

378 is a cake number.


378 Holmia is an asteroid discovered in 1893.

Thursday, April 28, 2011

130

130 = 2 x 5 x 13.

130 has two representations as a sum of two squares: 130 = 32 + 112 = 72 + 92.

130 is the smallest number with eight representations as a sum of four positive squares: 130 = 12 + 12 + 82 + 82 = 12 + 22 + 22 + 112 = 12 + 22 + 52 + 102 = 12 + 42 + 72 + 82 = 22 + 32 + 62 + 92 = 32 + 62 + 62 + 72 = 42 + 42 + 72 + 72 = 42 + 52 + 52 + 82.

130 is a cake number.

130 is the sum of the factorials of the first five terms of the Fibonacci sequence: 130 = 1! + 1! + 2! + 3! + 5!.

130 is the only number that is equal to the sum of the squares of its first four divisors: 130 = 12 + 22 + 52 + 102.

The Lockheed C-130 Hercules is a four-engine turboprop military transport aircraft.

Wednesday, November 18, 2009

93

93 = 3 x 31.

93 has the unique representation 93 = 22 + 52 + 82 as a sum of three squares.

93 is 1011101 in base 2 and 333 in base 5.

93 is a cake number. The nth cake number is the maximum number of pieces into which a (cylindrical) cake can be cut with n planar cuts. The first 10 cake numbers are 2, 4, 8, 15, 26, 42, 64, 93, 130, 176. There are 39 cake numbers below 10,000.


The chemical element niobium has one stable isotope, which has 93 neutrons.