Properties of the Number 13972

Thirteen Thousand Nine Hundred Seventy-Two

Basics

Value: 13971 → 13972 → 13973

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 499

Divisors: 1, 2, 4, 7, 14, 28, 499, 998, 1996, 3493

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010010100

Octal: 33224

Duodecimal: 8104

Hexadecimal: 3694

Square: 195216784

Square Root: 118.20321484629764

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 that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Let (u1,u2) be successive untouchable numbers such that φ(u1) = φ(u2); sequence gives values of u2. A48190

Expansion of f(-x⁶)³ / (f(-x⁴)² * ψ(x)) in powers of·where φ(), f() are Ramanujan θ functions. A262152

Twice the positions in A051686 at which new primes appear in that sequence. A51861

a(n) = ∑_i=0..n A047130(i, n-i). A47131

Constant term in the reduction by (x²->x+1) of the polynomial p(n,x) defined below at Comments. A192921

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 838", based on the 5-celled von Neumann neighborhood. A273681

Floor of area of triangle whose sides are consecutive Ulam numbers (A002858). A330909

a(n) = sigma₂₄(n), the sum of the 24th powers of the divisors of n. A13972