Properties of the Number 13126

Thirteen Thousand One Hundred Twenty-Six

Basics

Value: 13125 → 13126 → 13127

Parity: even

Prime: No

Previous Prime: 13121

Next Prime: 13127

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 6563

Divisors: 1, 2, 6563, 13126

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101000110

Octal: 31506

Duodecimal: 771A

Hexadecimal: 3346

Square: 172291876

Square Root: 114.56875664857326

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

Indices in A146326 where records occur. A146345

Numbers that are the sum of 6 nonzero 8th powers. A3384

Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,... A86514

a(n+3) = -a(n+2) + 2a(n+1) + a(n) with a(0)=-1, a(1)=0, a(2)=-3. A214683

a(n) = 5·a(n-1) - 6·a(n-2) + a(n-3) with a(0)=1, a(1)=0, a(2)=-2. A215695

Sum of the third largest parts in the partitions of n into 8 parts. A308996

Number of idempotent order-preserving partial transformations (of an n-element chain). A112091

a(n) is the smallest number that is the sum of n positive 6th powers in two ways. A343079

Numerator of the polynomial A_l(x) = ∑_d=1..l-1 x^l-d/d for index l=2n+1 evaluated at x=8. A145623

a(n) = 625·n + 1. A158383