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Properties of the Number 8132

Eight Thousand One Hundred Thirty-Two

Basics

Value: 8131 → 8132 → 8133

Parity: even

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 2 × 19 × 107

Divisors: 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1111111000100

Octal: 17704

Duodecimal: 4858

Hexadecimal: 1fc4

Square: 66129424

Square Root: 90.17760254076397

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148
a(n) = 2·1 + 4·3 + 6·5 + 8·7 + 10·9 + 12·11 + ... + (up to the n-th term). A319866
T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..1 nXk array. A220217
Numbers k such that k and its reversal are both multiples of 19. A62907
T(n,k)=Number of nXk array permutations with each element moved and moved by a city block distance of no more than three. A188966
a(n) = n - A332215(n). A364253
Coefficients in a certain Poincaré series [or Poincare series]. A98705
Negative integers n such that in balanced ternary representation the number of occurrences of each trit doubles when n is squared. A257868
Numbers k such that 24·k-1 has at least three factors 7 and the partition function evaluated at k has at least the same number of factors 7 as 24·k-1. A340957
Dimension of n-th compound of a certain space. A7182