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Properties of the Number 31465

Thirty-One Thousand Four Hundred Sixty-Five

Basics

Value: 31464 → 31465 → 31466

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 29 × 31

Divisors: 1, 5, 7, 29, 31, 35, 145, 155, 203, 217

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101011101001

Octal: 75351

Duodecimal: 16261

Hexadecimal: 7ae9

Square: 990046225

Square Root: 177.38376475878508

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

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332
Number of intersections of diagonals in the interior of a regular n-gon. A6561
Number of solenoidal flows (flow in = flow out) in a 3 X 3 square array with integer velocities -n .. n. A68722
Number of interior points that are the intersections of exactly two chords in the configuration A006561(n). A292104
Binomial coefficients binomial(2·n-3,4). A53126
Triangle of triangular binomial coefficients, read by rows, where column k has the g.f.: 1/(1-x)(k+1*(k+2)/2) for k >= 0. A98568
T(n,k)=Number of length n+3 0..k arrays with some pair in every consecutive four terms totalling exactly k. A245950
Coefficients in the expansion of C6 / B7, in Watson's notation of page 106. A160460
Array read by descending antidiagonals: A(n,k) is the number of unoriented colorings of the facets of a regular n-dimensional orthotope using up to k colors. A325005
Doubly pentagonal numbers: a(n) = n*(3·n-2)*(3·n-1)*(3·n+1)/8. A232713