Properties of the Number 3018

Three Thousand Eighteen

Basics

Value: 3017 → 3018 → 3019

Parity: even

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 503

Divisors: 1, 2, 3, 6, 503, 1006, 1509, 3018

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111001010

Octal: 5712

Duodecimal: 18B6

Hexadecimal: bca

Square: 9108324

Square Root: 54.93632677928149

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 parts 3k and 3k+1 with at least one part of each type. A35618

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24. A51989

Number of partitions of n such that the set of parts and the set of multiplicities of parts are disjoint. A114639

a(n) = 1 + ∑_i=1..n (n-i+1)*φ(i). A5598

a(n) = (n⁵ - 5·n⁴ + 5·n³ + 5·n² + 114·n + 120)/120. A161701

a(n) = ∑_k=0..n binomial(n,k²). A3099

Number of partitions of n into distinct parts, the least being odd. A26832

Numbers k such that for any positive integers (a, b), if a·b = k then a + b is prime. A80715

L.g.f.: L(x,y) = log( ∏_n>=1 1/(1 - (xⁿ + yⁿ)) ), where L(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k / (n+k) such that L(0,0) = 0, as a symmetric square table of coefficients T(n,k) read by antidiagonals starting with T(0,0) = 0. A322200

Triangle read by rows: T(n,m) (n >= m >= 1) = number of line segments formed by drawing the lines connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331454