Properties of the Number 13872

Thirteen Thousand Eight Hundred Seventy-Two

Basics

Value: 13871 → 13872 → 13873

Parity: even

Prime: No

Previous Prime: 13859

Next Prime: 13873

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 17 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000110000

Octal: 33060

Duodecimal: 8040

Hexadecimal: 3630

Square: 192432384

Square Root: 117.77945491468365

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

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

a(n) = ∑_d∣3 φ(d)*n^3/d. A54602

a(n) = 12·n². A135453

a(n) = n²*(n² - 1)/6. A8911

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230977

Numbers n such that sopf(n) = sopf(n-1) - sopf(n-2), where sopf(x) = sum of the distinct prime factors of x. A76527

Triangle read by rows: T(n,k) is the number of commutative groupoids with n elements and k idempotents. A38021

Expansion of theta₃(q) / theta₃(q²) in powers of q. A80015

Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan θ function. A108494

Numbers that are the sum of three squares in arithmetic progression. A292313