Properties of the Number 33985

Thirty-Three Thousand Nine Hundred Eighty-Five

Basics

Value: 33984 → 33985 → 33986

Parity: odd

Prime: No

Previous Prime: 33967

Next Prime: 33997

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 971

Divisors: 1, 5, 7, 35, 971, 4855, 6797, 33985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011000001

Octal: 102301

Duodecimal: 17801

Hexadecimal: 84c1

Square: 1154980225

Square Root: 184.3502101978731

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

Numbers whose sum of divisors is a sixth power. A19424

Numbers whose sum of divisors is 6⁶ = 46656. A48256

The triangle in A151359 read by rows downwards. A151511

Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4, 5 or 6 (n >= 0, 0 <= k <= 6n). A151359

G.f. satisfies A(x) = 1 + x·A(x)/(1 - x³*A(x)²). A365243

The triangle in A151359 read by rows upwards. A151512

a(n) = (4·n³ + 30·n² + 50·n)/3 + 1. A323218

A triangle sequence from coefficients of an infinite sum polynomial: p(x,n)=Sum[(n - k - 1)ⁿ*Binomial[x, k], {k, 0, Infinity}]/2^{x - n}. A176863

Number of partitions of n into two or more distinct nonzero squares. A33985