Properties of the Number 32781

Thirty-Two Thousand Seven Hundred Eighty-One

Basics

Value: 32780 → 32781 → 32782

Parity: odd

Prime: No

Previous Prime: 32779

Next Prime: 32783

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 223

Divisors: 1, 3, 7, 21, 49, 147, 223, 669, 1561, 4683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000001101

Octal: 100015

Duodecimal: 16B79

Hexadecimal: 800d

Square: 1074593961

Square Root: 181.05524018928588

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 simple grammar: rooted ordered set partitions. A52882

a(n) = 2ⁿ⁺¹ + n - 1. A83706

Triangle read by rows, T(n, k) = binomial(n, k) * ∑_j=0..n-k E(n-k, j)*2^j, where E(n, k) are the Eulerian numbers A173018(n, k), for 0 <= k <= n. A154921

Partial sum of centered tetrahedral numbers A005894. A132366

Triangle relating to ordered Bell numbers, A000670. A208744

Total number of parts of multiplicity 8 in all partitions of n. A222708

Numbers k such that k² +- k +- 1 is prime for all four possibilities. A236056

Expansion of x²*(1 + 2·x - x²)/(1 - x - 3·x² - x³ + x⁴). A120748

Number of 3 X n 0..1 arrays with rows unimodal and antidiagonals nondecreasing. A224410

Numbers n such that a digit of n to the power k plus the sum of the other digits of n equals n, where k is a positive integer. A257860