Properties of the Number 83012

Eighty-Three Thousand Twelve

Basics

Value: 83011 → 83012 → 83013

Parity: even

Prime: No

Previous Prime: 83009

Next Prime: 83023

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 20753

Divisors: 1, 2, 4, 20753, 41506, 83012

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100010001000100

Octal: 242104

Duodecimal: 40058

Hexadecimal: 14444

Square: 6890992144

Square Root: 288.11803136909015

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 (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234114

Number of partitions of 3n-1 into n nonnegative integers each no more than 6. A1978

Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234107

Number of (n+1)X(7+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234113

Revert transform of (-1 + x + x²)/((x - 1)*(x + 1)). A49124

a(n) = ∑_k=0..n-1 8^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number. A83012