Properties of the Number 22461

Twenty-Two Thousand Four Hundred Sixty-One

Basics

Value: 22460 → 22461 → 22462

Parity: odd

Prime: No

Previous Prime: 22453

Next Prime: 22469

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7487

Divisors: 1, 3, 7487, 22461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110111101

Octal: 53675

Duodecimal: 10BB9

Hexadecimal: 57bd

Square: 504496521

Square Root: 149.86994361779148

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4. A196685

a(1)=1, a(n) = n·5^n-1 + a(n-1). A14917

Integers k such that nextprime(k⁵) - prevprime(k⁵) = 4. A90123

Triangle read by rows, generated from (..., 3, 2, 1). A108283

a(n) = ∑_i=0..n (i+1)*nⁱ. A189001

a(n) is the smallest error in trying to solve n⁵ = x⁵ + y⁵: for each n from 2 on, find positive integers·and y, x <= y < n such that |n⁵ - x⁵ - y⁵| is minimal and let a(n) = n⁵ - x⁵ - y⁵. In case of a tie, choose the solution with smallest y. A369855

a(n) = 1 + 2·n + 3·n² + 4·n³ + 5·n⁴ + 6·n⁵. A113531

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4. A196680

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,1,2,3 for x=0,1,2,3,4. A196684

a(0)=0, a(1)=1, a(n) = min{5 a(k) + (5^n-k-1)/4, k=0..(n-1)} for n>=2. A259669