Saturday, March 20, 2021

Number of the day: 77737

Alfréd Rényi was born on this day 100 years ago.

Properties of the number 77737:

77737 is a cyclic number.
77737 = 11 × 37 × 191 is a sphenic number and squarefree.
77737 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 68400 totatives.
77737 has an emirp digit sum 31 in base 10.
Reversing the decimal digits of 77737 results in a sphenic number.
77737 = 388692 - 388682 = 35392 - 35282 = 10692 - 10322 = 2992 - 1082 is the difference of 2 nonnegative squares in 4 ways.
77737 is the sum of 2 positive triangular numbers.
77737 is the difference of 2 positive pentagonal numbers in 3 ways.
77737 = 422 + 972 + 2582 is the sum of 3 positive squares.
777372 = 252122 + 735352 is the sum of 2 positive squares in 1 way.
777372 is the sum of 3 positive squares.
77737 is a proper divisor of 115320 - 1.
77737 = '77' + '737' is the concatenation of 2 semiprime numbers.
77737 is palindromic in (at least) base 67.
77737 consists of only the digits '3' and '7'.

The number 77737 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A043520: Numbers such that the number of 7's in their decimal representation is 4.

No comments:

Post a Comment