Properties of the Number 63360

Sixty-Three Thousand Three Hundred Sixty

Basics

Value: 63359 → 63360 → 63361

Parity: even

Prime: No

Previous Prime: 63353

Next Prime: 63361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 5 × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011110000000

Octal: 173600

Duodecimal: 30800

Hexadecimal: f780

Square: 4014489600

Square Root: 251.71412356083638

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

Expansion of ∏_m>=1 (1+q^m)^m². A27998

Sequence associated with recurrence a(n) = 2·a(n-1) + k*(k+2)*a(n-2). A80951

Number of ways of writing n as a sum of 11 squares. A8453

Numbers expressible as (a²-1)(b²-1) in at least 2 distinct ways (b>=a>1). A63067

a(n) = 24·n*p(n) = 24·n*A000041(n). A183009

Generalized Stirling2 array (8,2). A92077

a(n) = ∏_k=1..n floor((2·n+1)/k - 1). A207647

G.f. satisfies: A(x) = ∑_n>=0 xⁿ / ∏_k=1..n (1 - k·x*A(x)). A225294

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping, cyclic wrap-around) occurrences of the consecutive step pattern UDU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows. A232933

a(n) = floor( n*(n+1)*(n+2)*...*(n+6) / (n+(n+1)+(n+2)+...+(n+6)) ). A32774