Properties of the Number 22971

Twenty-Two Thousand Nine Hundred Seventy-One

Basics

Value: 22970 → 22971 → 22972

Parity: odd

Prime: No

Previous Prime: 22963

Next Prime: 22973

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 19 × 31

Divisors: 1, 3, 13, 19, 31, 39, 57, 93, 247, 403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100110111011

Octal: 54673

Duodecimal: 11363

Hexadecimal: 59bb

Square: 527666841

Square Root: 151.56186855538567

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

Numbers k such that the Woodall number k·2^k - 1 is prime. A2234

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero. A232955

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4. A196287

Sum of the divisors of the n-th odd square: a(n) = σ((2·n-1)²). A379223

Odd numbers m such that σ(x) = m has more than 1 solution. A300869

a(n) = σ(A003961(n²)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1), and σ is the sum of divisors function. A379482

Numbers k such that card({x|σ(x)=k}) > 1 and (∑_σ(x)=k x) < k. A258931

a(n) = (n⁴ + 5·n³ + 11·n² + 7·n)/6. A332697

Sum of the odd divisors of the primorial inflation of n. A337204

Square array A(n, k) = σ((2n-1)²) * σ((2k-1)²), read by antidiagonals. A379220