Properties of the Number 59673

Fifty-Nine Thousand Six Hundred Seventy-Three

Basics

Value: 59672 → 59673 → 59674

Parity: odd

Prime: No

Previous Prime: 59671

Next Prime: 59693

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 19891

Divisors: 1, 3, 19891, 59673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110100100011001

Octal: 164431

Duodecimal: 2A649

Hexadecimal: e919

Square: 3560866929

Square Root: 244.28057638707176

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

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090

Triangular array read by rows: T(n, k) = number of occurrences of 2k as a sum |1 - p(1)| + |2 - p(2)| + ... + |n - p(n)|, where (p(1), p(2), ..., p(n)) ranges through the permutations of (1,2,...,n), for n >= 1, 0 <= k <= n-1. A357329

Period of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292091

Numbers n such that Watanabe's 3-shift tag system {00/1011} started at the word (100)ⁿ eventually dies (i.e., reaches the empty string). A292089

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = length of first word we see that is in the cycle, if the orbit cycles, or 0 if the orbit reaches the empty string, or -1 if the orbit is unbounded. A292092

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = length of the longest word in the orbit, or -1 if the orbit is unbounded. A292093

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

Sum of binary numbers with n 1's and one (non-leading) 0. A59673