Properties of the Number 29766

Twenty-Nine Thousand Seven Hundred Sixty-Six

Basics

Value: 29765 → 29766 → 29767

Parity: even

Prime: No

Previous Prime: 29761

Next Prime: 29789

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 ² × 41

Divisors: 1, 2, 3, 6, 11, 22, 33, 41, 66, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010001000110

Octal: 72106

Duodecimal: 15286

Hexadecimal: 7446

Square: 886014756

Square Root: 172.52825855493933

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

Twice partition numbers. A139582

6 times octagonal numbers: a(n) = 6·n*(3·n-2). A153796

Denominators of continued fraction convergents to sqrt(930). A42799

Number of partitions of n with rank 4 or higher (the rank of a partition is the largest part minus the number of parts). A363231

Column 2 of triangle A055907. A55908

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = 0, a(1) = -1, a(2) = 0, a(3) = 1. A295735

E.g.f. satisfies A(x) = exp(x·A(x)² * (1 + x/2·A(x)²)). A365057

Number of words with n letters in the National Scrabble Association Dictionary. A124015

G.f. satisfies: A(x/A(x)) = 1 + x·A(x)². A147664

Unary-binary rooted trees with n nodes. A29766