Properties of the Number 17661

Seventeen Thousand Six Hundred Sixty-One

Basics

Value: 17660 → 17661 → 17662

Parity: odd

Prime: No

Previous Prime: 17659

Next Prime: 17669

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 29 ²

Divisors: 1, 3, 7, 21, 29, 87, 203, 609, 841, 2523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010011111101

Octal: 42375

Duodecimal: A279

Hexadecimal: 44fd

Square: 311910921

Square Root: 132.89469515371937

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*(2·n² - 2·n + 1). A59722

Number of paraffins. A5997

a(n) = ceiling(n/2)*ceiling(n²/2). A131474

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (1+x^k)/(1-x^k). A207641

Number of integer partitions of n whose length is not a semi-sum of the parts. A367398

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=7. A228644

a(n) = 21·n². A64762

Number of partitions p of n such that the multiplicity of the median of p is a part of p. A240492

Number of (w,x,y,z) with all terms in {1,...,n} and w > harmonic mean of {x,y,z}. A212105

a(n) is the number of forests with n (unlabeled) nodes in which each component tree is planted, that is, is a rooted tree in which the root has degree 1. A5198