Properties of the Number 12813

Twelve Thousand Eight Hundred Thirteen

Basics

Value: 12812 → 12813 → 12814

Parity: odd

Prime: No

Previous Prime: 12809

Next Prime: 12821

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4271

Divisors: 1, 3, 4271, 12813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 11001000001101

Octal: 31015

Duodecimal: 74B9

Hexadecimal: 320d

Square: 164172969

Square Root: 113.19452283569201

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

Total number of positive integers below 10ⁿ requiring 7 positive biquadrates in their representation as sum of biquadrates. A186659

Trajectory of 77 under the Reverse and Add! operation carried out in base 2. A75253

Numbers n such that 54 'Reverse and Add' steps are needed to reach a palindrome. A65321

Number of ways to partition the sum of all divisors of n (σ(n), A000203) into distinct positive integers not greater than n. A79125

a(n) = 6·a(n-1)-8·a(n-2)-9 for n > 2; a(0) = 77, a(1) = 897, a(2) = 3333. A176632

Number of partitions of n into 10 or more parts. A347547

Polynomials interpolating their own integral coefficients, read by row. The leading coefficients are positive and minimal. A103423

a(n) = 12·n² - 8·n + 9. A167585

Leading coefficients of self-interpolating polynomials from A103423. A103417

Positive integers m with 2^m-1*φ(m) - 1 prime, where φ(.) is Euler's totient function. A236375