Properties of the Number 6414

Six Thousand Four Hundred Fourteen

Basics

Value: 6413 → 6414 → 6415

Parity: even

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1069

Divisors: 1, 2, 3, 6, 1069, 2138, 3207, 6414

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100001110

Octal: 14416

Duodecimal: 3866

Hexadecimal: 190e

Square: 41139396

Square Root: 80.0874522007037

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

Where 3ⁿ occurs in n-almost primes, starting at a(0)=1. A78843

Array read by antidiagonals: A(n,k) is the number of nonequivalent binary matrices with k columns and any number of nonzero rows with n ones in every column up to permutation of rows and columns. A331461

Number of n-rowed binary matrices with all row sums 4, up to row and column permutation; bipartite graphs with all nodes of degree 4 in a distinguished bipartite n-block, up to isomorphism. A58783

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))³. A341241

G.f.: ∑_k>=0 x^k² / ∏_j=1..k (1 - x^2·j)². A340647

Number of partitions of n into parts 3k+1 and 3k+2 with at least one part of each type. A35620

Positive numbers having the same set of digits in base 8 and base 10. A37442

Principal diagonal of the convolution array A213831. A213832

Array read by ascending antidiagonals: A(n, k) is the total area of n-Fibonacci polyominoes with k columns, where k > 0. A378704

a(1)=1, then a(n)=2·a(n-1) if a(n-1) is prime, a(n)=a(n-1)+1 otherwise. A80735