Properties of the Number -2012

Twelve

Basics

Value: -2013 → -2012 → -2011

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 503

Divisors: 1, 2, 4, 503, 1006, 2012

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -11111011100

Octal: -3734

Duodecimal: -11B8

Hexadecimal: -7dc

Square: 4048144

Square Root: 44.85532298401161

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 exp( ∑_n>=1 -sigma₂(2·n)*xⁿ/n ) in powers of x. A283242

Partial alternating sums of the sigma₂ function: a(n) = ∑_k=1..n (-1)^k+1 * sigma₂(k). A379921

a(n) = 6ⁿ - n¹¹. A24073

A measure of how close rⁿ is to an integer where r is the real root of x³-x-1, i.e.. r = (1/2 + sqrt(23/108))^1/3 + (1/2 - sqrt(23/108))^1/3 = 1.3247.... (Higher absolute value of a(n) means closer, negative means less than closest integer.) A84252

Numbers whose sum of digits is 5. A52219

E-toothpick sequence (see Comments lines for definition). A161328

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

Number of nonnegative solutions to x² + y² <= n². A603

McKay-Thompson series of class 60F for the Monster group. A96938

Numbers n such that the numerator of the rational number 1 + 1/2 + 1/3 + ... + 1/n is a prime number. A56903