Properties of the Number 925

Nine Hundred Twenty-Five

Basics

Value: 924 → 925 → 926

Parity: odd

Prime: No

Previous Prime: 919

Next Prime: 929

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 37

Divisors: 1, 5, 25, 37, 185, 925

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011101

Octal: 1635

Duodecimal: 651

Hexadecimal: 39d

Square: 855625

Square Root: 30.4138126514911

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

a(n) = ceiling(n²/2). A982

Number of leaf nodes in a binary tree. A112088

Number of partitions of n in which no part occurs just once. A7690

Numbers m such that the Bernoulli number B_2·m has denominator 66. A51229

Number of solenoidal flows (flow in = flow out) in a 3 X 3 square array with integer velocities -n .. n. A68722

a(n) = (prime(n)² - 1)/24. A24702

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