Properties of the Number 12272

Twelve Thousand Two Hundred Seventy-Two

Basics

Value: 12271 → 12272 → 12273

Parity: even

Prime: No

Previous Prime: 12269

Next Prime: 12277

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 13 × 59

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 59, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111110000

Octal: 27760

Duodecimal: 7128

Hexadecimal: 2ff0

Square: 150601984

Square Root: 110.77905939300983

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

Number of non-isomorphic achiral multiset partitions of weight n. A330223

Expansion of e.g.f. 1/(1-2·log(1+x)). A88501

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - k·log(1 + x)). A320080

Numbers k that divide ∑_j=1..k A051953(j) where A051953(j) = j - φ(j). Arithmetic mean of first k cototient values is an integer. A63986

a(n) = 6·2ⁿ - n - 5. A101945

a(n) = 3·a(n-1) - 2·a(n-2) with a(0)=32 and a(1)=80. A182466

G.f. A(x) satisfies: A(x) = 1 + x·A(2·x/(1 - 2·x)²) / (1 - 2·x). A393536

a(1) = 2; and for n > 1, a(n) = A341512(n) + A347096(n). A347097

Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional b.c.c. lattice. A7218

G.f.: A(x) = ∏_n>=1 [ (1-x)²*(1 + 2x + 3x² +...+ n·x^n-1) ]. A129355