1742

1742 = 2 x 13 x 67. It is the first of a pair of sphenic twins (consecutive integers, each the product of three distinct primes (A215217).

1742 is a divisor of 29³ - 1.

1742 is 2345 in base 9.

1742 is a number n such that 1 + n + n³ + n⁵ + . . . + n²¹ + n²³ is prime (A125181).

1742 is a number whose product of digits (56) is four times the sum of the digits (14) (A062036).

1742 is the number of walks of length 6 on a square lattice that start from the origin and do not touch the nonpositive real axis once they have left their starting point (A053791).

In the year 1742, Christian Goldbach conjectured that every even number greater than or equal to 4 can be expressed as the sum of two primes.

Source: On-Line Encyclopedia of Integer Sequences