Properties of the Number 72288

Seventy-Two Thousand Two Hundred Eighty-Eight

Basics

Value: 72287 → 72288 → 72289

Parity: even

Prime: No

Previous Prime: 72287

Next Prime: 72307

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 251

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101001100000

Octal: 215140

Duodecimal: 35A00

Hexadecimal: 11a60

Square: 5225554944

Square Root: 268.86427802889693

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 3 X 3 magilatin squares with positive values and magic sum n. A173549

G.f. satisfies A(x) = 1 + x³ + x·A(x)². A367042

Expansion of 1/((1 - x)⁶ - 2·x⁶). A375165

E.g.f.: exp( ∑_n>=1 A000108(n-1)*xⁿ/n ), where A000108(n) = binomial(2·n,n)/(n+1) forms the Catalan numbers. A243953

Smallest prime factor of googolplex + n that exceeds 13, or 1 if googolplex + n is 13-smooth. A72288

a(n) = ∑_k=0..n (k+1)*binomial(3·n-4·k+1,n-k)/(n-k+1). A279159