Properties of the Number 47013

Forty-Seven Thousand Thirteen

Basics

Value: 47012 → 47013 → 47014

Parity: odd

Prime: No

Previous Prime: 46997

Next Prime: 47017

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 15671

Divisors: 1, 3, 15671, 47013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011011110100101

Octal: 133645

Duodecimal: 23259

Hexadecimal: b7a5

Square: 2210222169

Square Root: 216.82481407809394

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

Triangle read by rows: T(n,k) gives the number of ballot sequences of length n having exactly k descents, n>=0, 0<=k<=n. A238121

Irregular triangle read by rows: T(n,k) gives the number of ballot sequences of length n having k descents, n>=0, 0<=k<=A083920(n-1). A238122

a(n) = number of steps to reach 0 when starting from k = (3ⁿ)-1 and repeatedly applying the map that replaces k with k - (sum of digits in base-3 representation of k). A261233

Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= two. A287252

Number of ballot sequences of length n having exactly four descents. A241797

a(n) is largest semiprime < 2·a(n-1), with a(1) = 4. A217836

T(n,n-1), array T given by A047010. A47013