Properties of the Number -35685

Thirty-Five Thousand Six Hundred Eighty-Five

Basics

Value: -35686 → -35685 → -35684

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 61

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 61, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000101101100101

Octal: -105545

Duodecimal: -18799

Hexadecimal: -8b65

Square: 1273419225

Square Root: 188.904737897174

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

Triangle of coefficients of powers of e² in numerators of ∑_k>=1 {1 / (1 + k²*π²)ⁿ}. A85470

Differentiation of A137286: Triangle of coefficients of differentiation recursive orthogonal Hermite polynomials given in Hochstadt's book : P(x, n) = x·P(x, n - 1) - n·P(x, n - 2). A136209

Total number of parts in all partitions of n plus the sum of largest parts in all partitions of n plus the number of partitions of n plus n. A225610

a(n) = (2·n+2)!! - (2·n+1)!!. A129890

Number of standard Young tableaux of n cells and height <= 9. A212915

Expansion of ∑_0<i<j<k<l<m q^i+j+k+l+m/( (1-qⁱ)*(1-q^j)*(1-q^k)*(1-q^l)*(1-q^m) )². A365665

Number of 5-tuples (v1,v2,v3,v4,v5) of nonnegative integers less than n such that v1 <= v4, v1 <= v5, v2 <= v4, v2 <= v5 and v3 <= v4. A85463

Coefficient triangle of the denominators of the (n-th convergents to) the continued fraction 1/(w+2/(w+3/(w+4/... . Conjectured to equal unsigned version of A137286. A180048

Number of strict integer partitions of 2n not containing n. A365828

Triangle read by rows: T(n,k) is the number of linear chord diagrams on 2n vertices with one marked chord such that exactly k of the remaining n-1 chords are contained within the marked chord. A336599