Properties of the Number 47673

Forty-Seven Thousand Six Hundred Seventy-Three

Basics

Value: 47672 → 47673 → 47674

Parity: odd

Prime: No

Previous Prime: 47659

Next Prime: 47681

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5297

Divisors: 1, 3, 9, 5297, 15891, 47673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011101000111001

Octal: 135071

Duodecimal: 23709

Hexadecimal: ba39

Square: 2272714929

Square Root: 218.34147567514515

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 T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262125

Starts for strings of at least five consecutive nonsquarefree numbers. A78144

Main diagonal of A276554. A281267

Numbers that are divisible by the product of their factorial base digits (A208575). A286590

Least of four consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2, k+3} are in A067259. A71320

Number of permutations p of [2n] such that the up-down signature of p has nonnegative partial sums with a maximal value of n. A262127

Number of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of five. A320979

Row 4 of square array defined in A047671. A47673