Properties of the Number 72710

Seventy-Two Thousand Seven Hundred Ten

Basics

Value: 72709 → 72710 → 72711

Parity: even

Prime: No

Previous Prime: 72707

Next Prime: 72719

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 11 × 661

Divisors: 1, 2, 5, 10, 11, 22, 55, 110, 661, 1322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110000000110

Octal: 216006

Duodecimal: 360B2

Hexadecimal: 11c06

Square: 5286744100

Square Root: 269.6479185901497

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

Number of partitions of n such that the least part occurs at least twice. A117989

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A233062

Number of partitions of n such that m(greatest part) < m(1), where m = multiplicity. A240076

G.f. A(x) satisfies: A(x)⁵ = A(x⁵) / (1 - 5·x). A372535

Indices of primes in sequence defined by A(0) = 93, A(n) = 10·A(n-1) + 43 for n > 0. A101015

Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..2+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A233059

Last digit of F(n) is 8 where F(n) is the n-th Fibonacci number. A72710