ℕ atory
Play Now

Properties of the Number 31461

Thirty-One Thousand Four Hundred Sixty-One

Basics

Value: 31460 → 31461 → 31462

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 10487

Divisors: 1, 3, 10487, 31461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101011100101

Octal: 75345

Duodecimal: 16259

Hexadecimal: 7ae5

Square: 989794521

Square Root: 177.37248941140788

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

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187705
Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653). A338453
Numbers k for which there are no prime numbers in the range (k-4·sqrt(sqrt(k)), k]. A192320
Numerators of convergents to continued fraction expansion of tribonacci constant (A058265, A019712). A319428
Number of 3X3 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187706
Number of zero-sum -n..n arrays of 5 elements with adjacent element differences also in -n..n. A202255
Expansion of the series reversion of x/(1 + x2/(1 + x3/(1 + x4/(1 + x5/(1 + ...))))), a continued fraction. A291377
G.f. A(x) satisfies: A(x)2 equals the g.f. of A110649, which consists entirely of numbers 1 through 12. A112574
Number of (n+1) X (n+1) 0..4 arrays with each 2 X 2 subblock off diagonal and antidiagonal nonsingular and the array of 2 X 2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187703
Numbers k such that (16·10k + 161)/3 is prime. A273265