Properties of the Number 14280

Fourteen Thousand Two Hundred Eighty

Basics

Value: 14279 → 14280 → 14281

Parity: even

Prime: No

Previous Prime: 14251

Next Prime: 14281

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 7 × 17

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011111001000

Octal: 33710

Duodecimal: 8320

Hexadecimal: 37c8

Square: 203918400

Square Root: 119.49895397031725

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

a(n) = 2·binomial(n,3). A7290

a(n) = n*(n+1)*(n+2)*(n+3)/4. A33487

a(n) = 4·n*(2·n + 1). A33586

Number of square permutations of n elements. A3483

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165

6 times pentagonal numbers: a(n) = 3·n*(3·n-1). A152743

Number A(n,k) of permutations on [n] that are the k-th power of a permutation; square array A(n,k), n>=0, k>=0, read by antidiagonals. A247005

Numbers k such that σ(x) = k has exactly 10 solutions. A60666

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

Star of David matchstick numbers: a(n) = 6·n*(3·n+1). A45946