Properties of the Number 6742

Six Thousand Seven Hundred Forty-Two

Basics

Value: 6741 → 6742 → 6743

Parity: even

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 3371

Divisors: 1, 2, 3371, 6742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001010110

Octal: 15126

Duodecimal: 3A9A

Hexadecimal: 1a56

Square: 45454564

Square Root: 82.10968274204937

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 that sorted in increasing order do not contain a part k in position k. A238394

a(n) = floor(n*(n-1)*(n-2)/4). A11886

Triangle P, read by rows, where column k of P³ equals column 0 of P^3k+3 such that column 0 of P³ equals column 0 of P shift one row up, with P(0,0)=1. A136220

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305022

a(n) = floor(8ⁿ/(1+2·sin(6*π/13)/(2·sin(π/13)))ⁿ). A240841

T(n,k) = Number of n X k 0..1 arrays with every element unequal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A316686

When squared gives number composed of digits {4,5,6}. A30177

Column 3 of triangle A136220; also equals column 0 of U⁴ where U = A136228. A136224

Numbers k such that σ(k) plus the k-th prime is a triangular number. A115907

Triangle of coefficients of polynomials u(n,x) jointly generated with A207634; see the Formula section. A207633