Properties of the Number 63072

Sixty-Three Thousand Seventy-Two

Basics

Value: 63071 → 63072 → 63073

Parity: even

Prime: No

Previous Prime: 63067

Next Prime: 63073

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 73

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

2196 Try Today's Challenge

Representations

Binary: 1111011001100000

Octal: 173140

Duodecimal: 30600

Hexadecimal: f660

Square: 3978077184

Square Root: 251.1413944374762

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

Triangle T, read by rows, where column k of T equals (k+1)*(column k of T²) when shifted to have an initial '1'; i.e., T(n,k) = (k+1)*[T²](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0. A123305

Column 3 of triangle A123305. A123309

Moments of generalized Motzkin paths. A53442

E.g.f. is series reversion of x - log(1+x)². A206304

Number of partitions of [n] such that the element sum of each block is one more than a multiple of six. A375941

Triangle with n >= k >= 0 where a(n,k) = 2^k*3^n-k*(C(n+1,0)+C(n+1,1)+...C(n+1,k)). A61929

Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions. A187288

Ordered product of the terms in a primitive Pythagorean quadruple (with repetitions). A367737

E.g.f.: exp(2)*P(x) - Q(x), where P(x) = 1/∏_n>=1 (1 - xⁿ/n) and Q(x) = ∑_n>=1 2ⁿ/∏_k=1..n (k - x^k). A249475

Irregular triangle read by rows: T(n,k) (n >= 2) is the number of cubic graphs on 2n nodes with diameter k. A204329