Properties of the Number 47448

Forty-Seven Thousand Four Hundred Forty-Eight

Basics

Value: 47447 → 47448 → 47449

Parity: even

Prime: No

Previous Prime: 47441

Next Prime: 47459

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 659

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011100101011000

Octal: 134530

Duodecimal: 23560

Hexadecimal: b958

Square: 2251312704

Square Root: 217.82561832805618

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

Given a set of positive integers A={1,2,...,n-1,n}, n>=2. Take subsets of A of the form {1,...,n} so only subsets containing numbers 1 and n are allowed. Then a(1)=1 and a(n) is the number of subsets where arithmetic mean of the subset is an integer. A147980

Records in A031883 (positions). A171924

Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n. A208973

Number of binary arrays of length n+11 with fewer than 6 ones in any length 12 subsequence (=less than 50% duty cycle). A213116

Number of binary arrays of length 2·n+6 with fewer than n ones in any length 2n subsequence (=less than 50% duty cycle). A213124

a(n) = 2ⁿ + 3ⁿ + 6ⁿ - 1. A330170

T(n,k)=Number of binary arrays of length n+2·k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle). A213118

Numbers that are congruent to {0, 2, 3, 5, 6} mod 8. A47448

Number of length n+7 0..2 arrays with at most two downsteps in every 7 consecutive neighbor pairs. A255621