Properties of the Number 33415

Thirty-Three Thousand Four Hundred Fifteen

Basics

Value: 33414 → 33415 → 33416

Parity: odd

Prime: No

Previous Prime: 33413

Next Prime: 33427

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 41 × 163

Divisors: 1, 5, 41, 163, 205, 815, 6683, 33415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001010000111

Octal: 101207

Duodecimal: 17407

Hexadecimal: 8287

Square: 1116562225

Square Root: 182.7977023925629

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

Total number of modes in all partitions of n. A372542

a(n) = 2·a(n-1) + 2·a(n-2) + 2·a(n-3) - a(n-4) with a(0)=0, a(1)=1, a(2)=2, a(3)=7. A389120

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood. A271127

Array read by ascending antidiagonals: A(n, k) = n! * [xⁿ] exp((k-1)*x)*(k·cosh(sqrt(k)*x) + sqrt(k)*sinh(sqrt(k)*x))/k, with 1 <= k <= n. A366858

Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1. A35967

Array read by upward antidiagonals: A(n, k) = A265745(A372560(n, k)) for n > 1, k >= 1. A372561

a(n) = floor(95/n). A33415