Properties of the Number 2012

Two Thousand Twelve

Basics

Value: 2011 → 2012 → 2013

Parity: even

Prime: No

Previous Prime: 2011

Next Prime: 2017

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

603 Try Today's Challenge

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

Numbers whose sum of digits is 5. A52219

Number of alternating permutations on 2n+1 letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition). A217799

Number of permutations of length 3n with descent set {3, 6, ...} that avoid a certain pattern of length 4 or 5 (see Lewis, 2012, Appendix, for precise definition). A217830

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

Canyon numbers. Numbers with exactly one locally minimal digit and with exactly two locally maximal digits which are the same digit and nonadjacent. A134970

Length of n-th term in Look and Say sequences A005150 and A007651. A5341

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