Properties of the Number 12598

Twelve Thousand Five Hundred Ninety-Eight

Basics

Value: 12597 → 12598 → 12599

Parity: even

Prime: No

Previous Prime: 12589

Next Prime: 12601

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 6299

Divisors: 1, 2, 6299, 12598

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100110110

Octal: 30466

Duodecimal: 735A

Hexadecimal: 3136

Square: 158709604

Square Root: 112.24081254160627

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

Centered 17-gonal numbers: (17·n² - 17·n + 2)/2. A69130

Number of partitions of the n-th n-gonal number into distinct n-gonal numbers. A337763

a(0)=1; a(n) = sigma₂(n) + sigma₃(n). A92344

Number of Grassmannian permutations of size n that avoid a pattern, σ, where σ is a pattern of size 6 with exactly one descent. A362193

Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)). A36824

Numbers k such that 4^k + k⁴ - 1 is prime. A216424

Numbers n such that n·2²²⁰³ - 1 is prime. A265503

Expansion of ∑_i>=1 x^i*(i+1/2) / (1 - ∑_j>=1 x^j*(j+1/2))². A281810

a(n) = (n³)/2 + (3·n²)/2 + 3·n + 3. A127873

Expansion of e.g.f. exp(arcsinh(x)*arcsin(x)). A12598