Properties of the Number 71930

Seventy-One Thousand Nine Hundred Thirty

Basics

Value: 71929 → 71930 → 71931

Parity: even

Prime: No

Previous Prime: 71917

Next Prime: 71933

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 7193

Divisors: 1, 2, 5, 10, 7193, 14386, 35965, 71930

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100011111010

Octal: 214372

Duodecimal: 35762

Hexadecimal: 118fa

Square: 5173924900

Square Root: 268.19768828235635

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

Array read by antidiagonals: T(i,j) = number of different optimal difference triangle sets M(i,j). A234944

Number of different optimal triangle difference sets M(n,3). A234945

Number of words of length 2n in the two letters s and t that reduce to the identity 1 by using the relations ssTT=1, ststSS=1 and ststTT=1, where S and T are the inverses of s and t, respectively (i.e., sS=1 and tT=1). The generators s and t and the three stated relations generate the quaternion group Q4. A71930

Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1. A255156