Properties of the Number 5973

Five Thousand Nine Hundred Seventy-Three

Basics

Value: 5972 → 5973 → 5974

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 181

Divisors: 1, 3, 11, 33, 181, 543, 1991, 5973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101010101

Octal: 13525

Duodecimal: 3559

Hexadecimal: 1755

Square: 35676729

Square Root: 77.28518616138541

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 e.g.f. exp(sin(x)). A2017

a(n) = n*(11·n - 1)/2. A22268

T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors. A200871

Number of integer partitions of n with all distinct lengths of maximal anti-runs (decreasing by more than 1). A384885

Number of walks of length n between non-adjacent nodes on the Petersen graph. A91002

Numbers k such that (2^k + k)*2^k + 1 is prime. A200823

Number of subsets of {1..n} containing n such that every subset has a different sum. A325866

Numbers of the form p·q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385). A46405

Number of 6 X 6 binary matrices with n=0...36 ones up to row and column permutations. A52370

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood. A279810