Properties of the Number 12605

Twelve Thousand Six Hundred Five

Basics

Value: 12604 → 12605 → 12606

Parity: odd

Prime: No

Previous Prime: 12601

Next Prime: 12611

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 2521

Divisors: 1, 5, 2521, 12605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100111101

Octal: 30475

Duodecimal: 7365

Hexadecimal: 313d

Square: 158886025

Square Root: 112.27199116431488

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 superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Number of subsets of {1..n} whose cardinality is equal to the sum of some subset. A367216

Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102532

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangle of side n units having three vertices of a trapezoid inside the triangle. A391039

Number of inequivalent (mod D₃) ways to place 3 points on a triangular grid of side n so that they are not vertices of an equilateral triangle of any orientation. A243142

a(n) = 836·2ⁿ - 771. A305264

a(n) = (3·7ⁿ+(-1)ⁿ)/4. A83232

The number of elements in S₄\det^-1(n)/GL(4,Z), where we take det : M_{4 X 4} (Z) => Z. A162159

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record low value. A389560

Number of wide partitions of n. A70830