Properties of the Number 32820

Thirty-Two Thousand Eight Hundred Twenty

Basics

Value: 32819 → 32820 → 32821

Parity: even

Prime: No

Previous Prime: 32803

Next Prime: 32831

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 547

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000110100

Octal: 100064

Duodecimal: 16BB0

Hexadecimal: 8034

Square: 1077152400

Square Root: 181.1629101113139

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 of partitions of n such that the number of odd parts is a part. A240574

Number of strict (distinct parts) plane partitions of n with relatively prime parts. A323587

Sorted positions of first appearances in the run-compression (A037201) of the first differences (A001223) of the prime numbers (A000040). A376521

Number of 5-colorings of an n-wheel graph. A309315

Position of first appearance of 2n in the run-compression (A037201) of the first differences (A001223) of the prime numbers (A000040). A376520

a(n) = n*(4·n² + 2·n + 1). A110451

Numbers k such that 7·2^k - 5 is prime. A58602

A Jacobsthal Catalan convolution. A139379

Number of length n 0..1 arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244896

Number of permutations of [n] avoiding {4132, 4123, 1243}. A294772