Properties of the Number -901

Nine Hundred One

Basics

Value: -902 → -901 → -900

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 17 × 53

Divisors: 1, 17, 53, 901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110000101

Octal: -1605

Duodecimal: -631

Hexadecimal: -385

Square: 811801

Square Root: 30.01666203960727

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) = 1 + 3·n - 2·n². A168244

Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1+x-x³)ⁿ⁺¹*∑_{j >= 0} (j+1)ⁿ*(-x + x³)^j. A156896

Value of y in the Diophantine equation x³ + y³ = n·z³ (with x>0 and minimal and x >= y and y ≠ 0). A190580

Expansion of ∏_m>=1 (1-m·q^m)¹⁷. A22677

Nonzero numerators in asymptotic expansion of the Riemann-Seigel Z-function. A50276

First differences of A175628. A175717

G.f. satisfies: A(x) = ∑_n>=1 (1 + xⁿ)/xⁿ * A(x)^2·n, where A(0)=0 and A'(0)=1. A268297

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood. A270167

Expansion of g.f. x*(1-3·x-8·x²)/(1+5·x²-32·x⁴). A152269

a(n) = n² + 1. A2522