Properties of the Number 72744

Seventy-Two Thousand Seven Hundred Forty-Four

Basics

Value: 72743 → 72744 → 72745

Parity: even

Prime: No

Previous Prime: 72739

Next Prime: 72763

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 433

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110000101000

Octal: 216050

Duodecimal: 36120

Hexadecimal: 11c28

Square: 5291689536

Square Root: 269.7109563959165

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)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189951

1/4 the number of arrangements of n+1 nonzero numbers x(i) in -3..3 with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189945

1/4 the number of arrangements of 8 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189957

Difference between the members of a pair of primes (p, q) with p < q and such that, for some integer k, (p+q)/2 = 2^k and p > 2^k-1. A72744