Properties of the Number 5742

Five Thousand Seven Hundred Forty-Two

Basics

Value: 5741 → 5742 → 5743

Parity: even

Prime: No

Previous Prime: 5741

Next Prime: 5743

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 29

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 29, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001101110

Octal: 13156

Duodecimal: 33A6

Hexadecimal: 166e

Square: 32970564

Square Root: 75.77598564189053

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

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Numbers m such that there are precisely 20 groups of order m. A298911

T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. A285152

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=6. A135191

Numbers n such that n² contains exactly 8 different digits. A54036

a(n) is the smallest number k larger than a(n-1) such that n·d(k)*sopf(k)=σ(k), where d is the number of divisors (A000005) and sopf the sum of prime factors without repetition (A008472). A134382

a(1) = 1; for n > 1, a(n) = prime(A101296(n)-1) * a(floor(n/2)). A292258

Length of the maximal prefix of noncomposite numbers on row n of A249821. A250473