Properties of the Number 12652

Twelve Thousand Six Hundred Fifty-Two

Basics

Value: 12651 → 12652 → 12653

Parity: even

Prime: No

Previous Prime: 12647

Next Prime: 12653

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 3163

Divisors: 1, 2, 4, 3163, 6326, 12652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101101100

Octal: 30554

Duodecimal: 73A4

Hexadecimal: 316c

Square: 160073104

Square Root: 112.48110952511092

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

Expansion of 1/(1 - x³ - x⁴ + x⁷ - x¹⁰ - x¹¹ + x¹⁴) (a Salem polynomial). A143644

Number A(n,k) of factorizations of mⁿ into n factors, where m is a product of exactly k distinct primes and each factor is a product of k primes (counted with multiplicity); square array A(n,k), n>=0, k>=0, read by antidiagonals. A257462

G.f.: ∑_n>=0 (xⁿ - 1)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A243919

Sum of the sizes of the tails below the Durfee squares of all partitions of n. A116365

Expansion of ∏_k>=1 ((1 + x^k) / (1 + x^5·k))^k. A285291

Triangle read by rows: T(n,k) is the number of compositions without 2's and having asymmetry degree equal to k (n>=0; 0<=k<=floor(n/4)). A275442

Numbers k such that k² + 3·k + 1 is a palindrome. A28348

Whitney transform of 3ⁿ. A103820

Number of factorizations of mⁿ into n factors, where m is a product of exactly 4 distinct primes and each factor is a product of 4 primes (counted with multiplicity). A257114

G.f. A(x) satisfies: A(x) = (1 + x·A(x)²) / (1 - x + 2·x²). A346505