Properties of the Number -33600

Thirty-Three Thousand Six Hundred

Basics

Value: -33601 → -33600 → -33599

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000001101000000

Octal: -101500

Duodecimal: -17540

Hexadecimal: -8340

Square: 1128960000

Square Root: 183.3030277982336

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

T(n, k) is the coefficient of z^k in the numerator of the polynomial part of zⁿ*exp(-n·s), where s = hypergeom([1, 1, 3/2], [2, 5/2], 1/z²)/(6z²); related to Chebyshev's quadrature. Triangle read by rows, T(n,k) for 0 <= k <= n. A101270

Irregular triangle read by rows: row n gives numerators of coefficients of polynomials arising from Chebyshev quadrature. A324123

Expansion of e.g.f. cos(tan(x)*log(1+x)). A9077

Triangle T(n,m) = coefficient of xⁿ in expansion of x^m*(x+1)^m·x = sum(n>=m, T(n,m) xⁿ*m!/n!). A202183

Triangle T(n,k) represents the coefficients of (x²⁰*d/dx)ⁿ, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297. A223522

Expansion of x⁹/((1-x)*(1-x²)*(1-x³))². A117485

Triangle read by rows: T(n,k) is the number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly k local maxima. A334778

Numbers k such that k⁶ + 1091 is prime. A66386

A partition product of Stirling₁ type [parameter k = 4] with biggest-part statistic (triangle read by rows). A157394

A partition product of Stirling₁ type [parameter k = -6] with biggest-part statistic (triangle read by rows). A157386