Properties of the Number 13012

Thirteen Thousand Twelve

Basics

Value: 13011 → 13012 → 13013

Parity: even

Prime: No

Previous Prime: 13009

Next Prime: 13033

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 3253

Divisors: 1, 2, 4, 3253, 6506, 13012

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11001011010100

Octal: 31324

Duodecimal: 7644

Hexadecimal: 32d4

Square: 169312144

Square Root: 114.0701538527936

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

T(n,k)=Number of nXk 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278188

Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+2) rectangle. A274596

Cycle of 3 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'. A34593

Maximal intervals of balanced binary trees in the Tamari lattices. A272372

Number of nX4 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278185

Convolution of σ(n) with φ(n). A86733

Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A239844

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 270", based on the 5-celled von Neumann neighborhood. A271089

Number of 3Xn 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278190

Numbers k such that 397·2^k+1 is prime. A323043