Properties of the Number 6672

Six Thousand Six Hundred Seventy-Two

Basics

Value: 6671 → 6672 → 6673

Parity: even

Prime: No

Previous Prime: 6661

Next Prime: 6673

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 139

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000010000

Octal: 15020

Duodecimal: 3A40

Hexadecimal: 1a10

Square: 44515584

Square Root: 81.68231142664855

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

Convolution triangle of A002605(n) (generalized (2,2)-Fibonacci), n>=0. A73387

Expansion of 1/((1+x)*(1-x)⁶). A1753

T(n,k) = number of n X k 0..1 arrays with rows unimodal and columns nondecreasing. A225010

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746

Numbers k such that φ(x) = k has exactly 12 solutions. A60675

a(n) = ∑_d∣n φ(d)*3^n/d. A54610

Second convolution of A002605(n) (generalized (2,2)-Fibonacci), n >= 0, with itself. A73389

COMPOSE squares with squares. A30279

Triangle T(n,k) = ∑_d∣n φ(d)*k^n/d. A54618

Expansion of b(q²) * c(q⁶) / (b(q) * c(q³)) in powers of q where b(), c() are cubic AGM θ functions. A123629