Properties of the Number 28497

Twenty-Eight Thousand Four Hundred Ninety-Seven

Basics

Value: 28496 → 28497 → 28498

Parity: odd

Prime: No

Previous Prime: 28493

Next Prime: 28499

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 23 × 59

Divisors: 1, 3, 7, 21, 23, 59, 69, 161, 177, 413

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111101010001

Octal: 67521

Duodecimal: 145A9

Hexadecimal: 6f51

Square: 812079009

Square Root: 168.8105446943407

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n whose first differences (assuming the last part is zero) are not unimodal. A332284

Number of integer partitions of n with at least one part of odd multiplicity that is not the first or last. A349061

Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers. A136117

a(n) = sum of all divisors of all numbers k such that n² <= k < (n+1)². A168012

Number of quadrilateral regions in an equilateral triangular "frame" of size n (see Comments in A328526 for definition). A333033

Numbers which are the product of two S-primes (A057948) in exactly three ways. A343828

a(n) = (A001359(n+1)² - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822). A308344

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 577", based on the 5-celled von Neumann neighborhood. A273024

Triangle read by rows: T(n,k) = number of connected quartic graphs on n vertices with crossing number k for n >= 1, k >= 0. A390644

Pentagonal numbers which are products of four distinct primes. A381919