Properties of the Number 3014

Three Thousand Fourteen

Basics

Value: 3013 → 3014 → 3015

Parity: even

Prime: No

Previous Prime: 3011

Next Prime: 3019

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 137

Divisors: 1, 2, 11, 22, 137, 274, 1507, 3014

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111000110

Octal: 5706

Duodecimal: 18B2

Hexadecimal: bc6

Square: 9084196

Square Root: 54.89990892524322

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

Generalized 14-gonal numbers: m*(6·m-5), m = 0,+1,-1,+2,-2,+3,-3,... A195818

a(n) = (3·n² - n - 2)/2. A115067

Numbers n such that Bernoulli number B_n has denominator 138. A271635

Expansion of ∏_k>=1 (1 - x^8·k)/(1 - x^k). A261775

Number of unlabeled bicolored bipartite graphs on 2n nodes having n nodes of each color with no edges between vertices of the same color and allowing the color classes to be interchanged. A7139

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209485

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222573

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two. A248987

Least nontrivial multiple of the n-th prime beginning with 3. A78287

The number phi₂(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row. A53993