Properties of the Number 33601

Thirty-Three Thousand Six Hundred One

Basics

Value: 33600 → 33601 → 33602

Parity: odd

Prime: Yes

Previous Prime: 33599

Next Prime: 33613

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 33601

Divisors: 1, 33601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101000001

Octal: 101501

Duodecimal: 17541

Hexadecimal: 8341

Square: 1129027201

Square Root: 183.3057555015663

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

a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n. A2219

Number of vertices formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331763

Number of integer partitions of n whose median part is the smallest. A361860

a(n) = (16/3)*(n+1)*n*(n-1) + 8·n² + 1. A212668

Number of partitions of n which can themselves be subdivided into two partitions whose sums differ by 1 at most. A276107

Smallest of 3 consecutive prime numbers such that p1·p2·p3·d1·d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(δ)=p2-p1, d2(δ)=p3-p2. A153409

Primes of the form x² + 5·y², where·and y=x+1 are consecutive natural numbers. A176608

E.g.f. satisfies A(x) = exp(x - x⁴ * A(x)). A362431

a(n) = 3ⁿ mod n³. A66607

Expansion of (1-3x)/((1-x)(1-4x)(1-5x)). A97165