Properties of the Number 12930

Twelve Thousand Nine Hundred Thirty

Basics

Value: 12929 → 12930 → 12931

Parity: even

Prime: No

Previous Prime: 12923

Next Prime: 12941

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 431

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 431, 862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010000010

Octal: 31202

Duodecimal: 7596

Hexadecimal: 3282

Square: 167184900

Square Root: 113.71015785759863

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 ways to write n as an ordered sum of 6 primes. A340962

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

Numbers k such that k² +-11 are primes. A176683

G.f.: A(x) = exp( 2*∑_n>=1 A006519(n)² * xⁿ/n ), where A006519(n) = highest power of 2 dividing n. A162581

Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n. A229272

Number of partitions of n such that 4*(smallest part) = (number of parts). A350896

Numbers k such that 1 + k + k³ + k⁵ + k⁷ + k⁹ + ... + k⁵⁷ is prime. A244390

G.f. satisfies: A(x) = (12 + A(x)⁴) / (13 - 27·x). A245043

a(n) = 108·n² - 228·n + 114 (n>=2). A304618

Least k such that A000668(n) - k is prime, where A000668(n) is the n-th Mersenne prime. A365161