Properties of the Number 99156

Ninety-Nine Thousand One Hundred Fifty-Six

Basics

Value: 99155 → 99156 → 99157

Parity: even

Prime: No

Previous Prime: 99149

Next Prime: 99173

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 8263

Divisors: 1, 2, 3, 4, 6, 12, 8263, 16526, 24789, 33052

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001101010100

Octal: 301524

Duodecimal: 49470

Hexadecimal: 18354

Square: 9831912336

Square Root: 314.8904571434327

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

G.f. A(x) satisfies A(x) = (1 + x·A(x·A(x)))³. A381570

Triangle, read by rows, such that column n equals the row sums of A001263ⁿ, which is the n-th matrix power of the Narayana triangle A001263, for n>=0. A105556

Expansion of 1/(1 - x) * ∏_k>=0 1/(1 - x^{4^k})^{4^(k+1}). A321345

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381570. A381569

Moments of 6-step random walk in 4 dimensions. A253097

Central terms in even-indexed rows of triangle A105556 and thus equals the n-th row sum of the n-th matrix power of the Narayana triangle A001263. A105558

12 times the total number of smallest parts in all partitions of n, with a(0) = 0. A211609

a(n) = 2^n-1*ChebyshevU(n-1, 2). A99156

G.f. A(x) satisfies A(x) = 1 + x·A(x·A(x)³)³. A212029