Properties of the Number 31125

Thirty-One Thousand One Hundred Twenty-Five

Basics

Value: 31124 → 31125 → 31126

Parity: odd

Prime: No

Previous Prime: 31123

Next Prime: 31139

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ³ × 83

Divisors: 1, 3, 5, 15, 25, 75, 83, 125, 249, 375

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100110010101

Octal: 74625

Duodecimal: 16019

Hexadecimal: 7995

Square: 968765625

Square Root: 176.4227876437735

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

Numbers k such that φ(k) | sigma₁₀(k). A15768

Expansion of e.g.f. A(x) satisfying A(x) = 1 + x·A(x) * exp(3·x*A(x)). A366233

T(n,k)=Number of nXk 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 3. A238812

Numbers k such that 11^k == -1 (mod k-1). A55694

Triangular numbers generated in A224218. That is, the triangular numbers generated by the operation triangular(i) XOR triangular(i+1) along increasing i. A220689

Hexagonal numbers (A000384) which are sum of 2 other hexagonal numbers > 0. A133215

Numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th prime as a substring of n. Also n may not contain any zero digits. A135015

Triangular numbers which are sums of 5 consecutive primes. A173421

Images of hexamorphic numbers: suppose k-th hexagonal number H(k) (A000384) ends in k; sequence gives positive values of H(k). A38494

Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array. A219910