Wednesday, July 20, 2022

Number of the day: 258031

Properties of the number 258031:

258031 is a cyclic number.
258031 is the 22678th prime.
258031 has 17 antidivisors and 258030 totatives.
258031 has a prime digit sum 19 in base 10.
258031 = 1290162 - 1290152 is the difference of 2 nonnegative squares in 1 way.
258031 is the difference of 2 positive pentagonal numbers in 1 way.
258031 is not the sum of 3 positive squares.
2580312 is the sum of 3 positive squares.
258031 is a proper divisor of 919141 - 1.
258031 = '2' + '58031' is the concatenation of 2 prime numbers.
258031 = '25' + '8031' is the concatenation of 2 semiprime numbers.
258031 is an emirp in (at least) the following bases: 2, 9, 16, 19, 21, 22, 27, 28, 29, 31, 33, 45, 47, 52, 56, 60, 61, 63, 65, 66, 72, 74, 77, 79, 90, 91, 94, and 95.
258031 is palindromic in (at least) the following bases: 4, and -73.
258031 in base 4 = 332333233 and consists of only the digits '2' and '3'.

The number 258031 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A224605: Number of (n+2) X 9 0..2 matrices with each 3 X 3 subblock idempotent.
A254905: Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally
A254907: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally
A254908: Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally

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