Properties of the Number 31280

Thirty-One Thousand Two Hundred Eighty

Basics

Value: 31279 → 31280 → 31281

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 17 × 23

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111101000110000

Octal: 75060

Duodecimal: 16128

Hexadecimal: 7a30

Square: 978438400

Square Root: 176.86152775547316

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 arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero. A189545

Diagonal in array of n-gonal numbers A081422. A81435

a(n) = A289670(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3). A289676

Expansion of (theta₃(z)*theta₃(23z) + theta₂(z)*theta₂(23z))⁶. A328094

Terms of A061047 ending in 0. A146950

Number of arrangements of n+1 nonzero numbers x(i) in -3..3 with the sum of trunc(x(i)/x(i+1)) equal to zero. A189539

Number of arrangements of 7 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero. A189550

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259003

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000101. A259767

a(n) = A289676(3·n+2). A290437