Properties of the Number 11973

Eleven Thousand Nine Hundred Seventy-Three

Basics

Value: 11972 → 11973 → 11974

Parity: odd

Prime: No

Previous Prime: 11971

Next Prime: 11981

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 307

Divisors: 1, 3, 13, 39, 307, 921, 3991, 11973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111011000101

Octal: 27305

Duodecimal: 6B19

Hexadecimal: 2ec5

Square: 143352729

Square Root: 109.42120452636226

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

a(n) = n*(8·n-5). A139272

Triangle T, read by rows, that satisfies the recurrence: T(n,k) = [T³](n-1,k-1) + [T³](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0, where T³ is the matrix third power of T. A113084

Positive numbers whose product of digits is 9 times their sum. A62041

Square table T, read by antidiagonals, where T(n,k) gives the number of n-th generation descendents of a node labeled (k), in the tree of 3-tournament sequences, for n>=1. A113081

Number of 3-tournament sequences: a(n) gives the number of increasing sequences of n positive integers (t₁,t₂,...,t_n) such that t₁ = 1 and t_i = 1 (mod 2) and t_i+1 <= 3·t_i for 1<i<n. A113085

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the upper median equal to the lower median plus the maximum in every 2X2 subblock. A235884

Number of periodic palindromes using exactly three different symbols. A56489

The triangle T₂(n, m), where T₂(n, m) is the number of surjective multi-valued functions from {1, 1, 2, 3, ..., n-1} to {1, 2, 3, ..., m} by rows (n >= 1, 1 <= m <= n). A172106

a(n) = Sum of all divisors of all numbers < (n+1)². A168013

a(n) = 1+5·n+7·n². A168235