Properties of the Number -17742

Seventeen Thousand Seven Hundred Forty-Two

Basics

Value: -17743 → -17742 → -17741

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2957

Divisors: 1, 2, 3, 6, 2957, 5914, 8871, 17742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100010101001110

Octal: -42516

Duodecimal: -A326

Hexadecimal: -454e

Square: 314778564

Square Root: 133.19909909605244

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

Expansion of ∏_k>=1 1/(1 + x^k)^p(k), where p(k) = number of partitions of k (A000041). A304784

a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range. A165599

Number of solutions to x² + y² + z² + w² <= n², where x, y, z, w are positive odd integers. A349611

a(n) = ∑_k=3..n binomial(k-1,2) * floor(n/k). A366970

Number of nX6 0..4 arrays with each element equal to the number its horizontal and vertical zero neighbors. A197052

n-th derivative of ((x^x)^x)^{x^x} at x=1. A215707

Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215836

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-2); see Comments. A305329

Expansion of e.g.f. (1/x) * Series_Reversion( x/(2·exp(x) - 1) ). A371005

Number of nX7 0..4 arrays with each element equal to the number its horizontal and vertical zero neighbors. A197053