Properties of the Number 72287

Seventy-Two Thousand Two Hundred Eighty-Seven

Basics

Value: 72286 → 72287 → 72288

Parity: odd

Prime: Yes

Previous Prime: 72277

Next Prime: 72307

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 72287

Divisors: 1, 72287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101001011111

Octal: 215137

Duodecimal: 359BB

Hexadecimal: 11a5f

Square: 5225410369

Square Root: 268.86241834812097

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

Primes having only {2, 7, 8} as digits. A385789

a(n) = p(n²*p(n)), where p(x) is the least prime > x. A378137

Array read by downward antidiagonals: A(n,k) = A(n-1,k+2) + ∑_j=0..k binomial(k,j)*A(n-1,j) with A(0,k) = 1, n >= 0, k >= 0. A369595

Let f(n, m) = binomial(n - m/2 + 1, n - m + 1) - binomial(n - m/2, n - m + 1) and let s(n) = ∑_k=0..n f(n, k); then a(n) = numerator of s(n). A72287