Properties of the Number 33661

Thirty-Three Thousand Six Hundred Sixty-One

Basics

Value: 33660 → 33661 → 33662

Parity: odd

Prime: No

Previous Prime: 33647

Next Prime: 33679

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 41 × 821

Divisors: 1, 41, 821, 33661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101111101

Octal: 101575

Duodecimal: 17591

Hexadecimal: 837d

Square: 1133062921

Square Root: 183.4693434882242

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) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

a(n) = ∑_k=1..n lcm(n,k). A51193

Least number k > 1 (that is not the power of prime p) such that k divides (p+1)^k-1, where p = prime(n). A128356

Generalized Euler numbers. Square array A(n,k), n >= 1, k >= 0, read by antidiagonals. A(n,k) = n-alternating permutations of length n·k. A181985

4-alternating permutations of length 4n. A211212

E.g.f.: (1+sqrt(2)*sin(x/sqrt(2))*cosh(x/sqrt(2))+sin(x/sqrt(2))*sinh(x/sqrt(2)))/(cos(x/sqrt(2))*cosh(x/sqrt(2))). A178964

Least number k > n such that k² divides n^k - 1. A128452

n-alternating permutations of length 3n. A211213

The fifth term of the greedy B_n set of natural numbers. A369817

Number of 3 X 3 X 3 magic cubes with sum 3n. A70302