Properties of the Number 12787

Twelve Thousand Seven Hundred Eighty-Seven

Basics

Value: 12786 → 12787 → 12788

Parity: odd

Prime: No

Previous Prime: 12781

Next Prime: 12791

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19 × 673

Divisors: 1, 19, 673, 12787

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111110011

Octal: 30763

Duodecimal: 7497

Hexadecimal: 31f3

Square: 163507369

Square Root: 113.07961796893373

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

G.f.: q-sinh(x) evaluated at q=-x. A198202

a(n) = 10000·log₁₀(n) rounded down. A4228

Floor(M(g(n-1)+1,..,g(n))), where M = harmonic mean and g(n) = n(n + 1)(n + 2)/6. A227016

a(n) = A002703(n)/2. A262567

Positions of new record minima A372935 in A071961. A372936

Number of n X n {0,-1,1}-matrices A such that permanent( |A| ) = | det A |, where |A| is obtained from A by taking the absolute value of each entry. A145675

The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9. A284782

Numbers k such that k!6 - 12 is prime, where k!6 is the sextuple factorial number (A085158). A289688

Number of partitions of n into parts not of the form 13k, 13k+2 or 13k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 5 are greater than 1. A35950

Expansion of -(20·x¹² + 184·x¹¹ + 121·x¹⁰ - 915·x⁹ -1 524·x⁸ - 132·x⁷ + 1068·x⁶ + 581·x⁵ - 71·x⁴ - 112·x³ - 14·x² + 5·x +1) / ((3·x +1) * (16·x¹² + 140·x¹¹ + 2·x¹⁰ - 968·x⁹ - 830·x⁸ + 946·x⁷ + 982·x⁶ - 239·x⁵ - 351·x⁴ - 5·x³ + 39·x² + 3·x -1)). A120469