Properties of the Number 33855

Thirty-Three Thousand Eight Hundred Fifty-Five

Basics

Value: 33854 → 33855 → 33856

Parity: odd

Prime: No

Previous Prime: 33851

Next Prime: 33857

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 37 × 61

Divisors: 1, 3, 5, 15, 37, 61, 111, 183, 185, 305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000111111

Octal: 102077

Duodecimal: 17713

Hexadecimal: 843f

Square: 1146161025

Square Root: 183.99728258862956

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 T(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258829

Fixed points in A376198. A376201

The Wiener index of the windmill graph D(6,n). The windmill graph D(m,n) is the graph obtained by taking n copies of the complete graph K_m with a vertex in common (i.e., a bouquet of n pieces of K_m graphs). A180577

Numbers k such that τ(k+1) - τ(k) = 5, where τ(k) = the number of divisors of k (A000005). A228453

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood. A281520

Row 3 of array in A047666. A47667

a(n) = 64·n² - 1. A158684

a(n) = ∑_k=1..n (-1)^n-k * kⁿ * floor(n/k). A308313

Numbers k such that A353802(k) / σ(σ(k)) is an integer > 1, where A353802(n) = ∏_p^e||n σ(σ(p^e)). A353807

Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of four. A316391