Properties of the Number 6093

Six Thousand Ninety-Three

Basics

Value: 6092 → 6093 → 6094

Parity: odd

Prime: No

Previous Prime: 6091

Next Prime: 6101

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 677

Divisors: 1, 3, 9, 677, 2031, 6093

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111001101

Octal: 13715

Duodecimal: 3639

Hexadecimal: 17cd

Square: 37124649

Square Root: 78.05767098754612

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 Look-and-Say partitions of n; see Comments. A239455

Number of partitions of n such that no part is a sum of two other parts. A236912

Number of unimodal partitions/compositions of n into distinct terms. A72706

Number of n-covers of an unlabeled 7-set. A5748

Triangle T(n,k) read by rows, giving number of k-member minimal covers of an unlabeled n-set, k=1..n. A55080

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal. A236828

Number of 4-covers of an unlabeled n-set. A5784

T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-k-1. A211930

Permutation of natural numbers: a(n) = A257726(A257690(n)). A257738