Properties of the Number 2015

Two Thousand Fifteen

Basics

Value: 2014 → 2015 → 2016

Parity: odd

Prime: No

Previous Prime: 2011

Next Prime: 2017

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 31

Divisors: 1, 5, 13, 31, 65, 155, 403, 2015

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111011111

Octal: 3737

Duodecimal: 11BB

Hexadecimal: 7df

Square: 4060225

Square Root: 44.88875137492688

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

Number of partitions of n into distinct and relatively prime parts. A78374

a(n) = n*(2·n + 3). A14106

Number of sublattices of index n in generic 3-dimensional lattice. A1001

Lucas-Carmichael numbers: squarefree composite numbers k such that p | k => p+1 | k+1. A6972

Triangle T(n,k), n>=1, 0<=k<=n², read by rows: row n gives the coefficients of the chromatic polynomial of the square grid graph G_n,n, highest powers first. A182368

Integers of the form t/6, where t is a triangular number (A000217). A154293

Number of strict integer partitions of n whose length (number of parts) can be written as a nonnegative linear combination of the parts. A367220

Binary palindromic numbers with only one 0 bit. A129868

Number of integer partitions of n > 0 where the maximum part equals the length minus the number of distinct parts. A324518

a(n) is the number of completed steps before being trapped for a knight moving on a square-spiral numbered board where the knight moves to an unvisited square with the lowest spiral number and with n or fewer visited neighbors. It only moves to squares with n+1 or more visited neighbors when no other squares are available, and if two or more such squares are present it chooses the square with the fewest visited neighbors, then the square with the lowest spiral number if still tied. A329520

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