Properties of the Number 12610

Twelve Thousand Six Hundred Ten

Basics

Value: 12609 → 12610 → 12611

Parity: even

Prime: No

Previous Prime: 12601

Next Prime: 12611

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 13 × 97

Divisors: 1, 2, 5, 10, 13, 26, 65, 97, 130, 194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101000010

Octal: 30502

Duodecimal: 736A

Hexadecimal: 3142

Square: 159012100

Square Root: 112.29425630903836

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

a(n) = ∑_d∣n p(d), where p(d) = A000041 = number of partitions of d. A47968

First differences of A003063. A56182

Number of achiral color patterns (set partitions) for a row or loop of length n using exactly 3 colors (sets). A304973

Distribution of maximum inversion table entry. A56151

Number of 2 X 2 matrices with all elements in {0,1,...,n} and nonnegative even determinant. A210371

Numbers k that are the product of four distinct primes such that x²+y² = k has integer solutions. A248712

Duplicate of A056182. A81956

a(n) is the smallest term m in A173978 for which A020639(2m-3) = prime(n), n > 1. A173980

Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) δ (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where δ is the operator defined in A084938. A199400

G.f. A(x) satisfies A(x) = 1/( (1+x) * (1 - x²*A'(x)) ). A386239