Properties of the Number 22984

Twenty-Two Thousand Nine Hundred Eighty-Four

Basics

Value: 22983 → 22984 → 22985

Parity: even

Prime: No

Previous Prime: 22973

Next Prime: 22993

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 13 ² × 17

Divisors: 1, 2, 4, 8, 13, 17, 26, 34, 52, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100111001000

Octal: 54710

Duodecimal: 11374

Hexadecimal: 59c8

Square: 528264256

Square Root: 151.6047492659778

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

Number of permutations p of [n] satisfying i-2 <= p(i) <= i+4 for all i in [n]. A72850

Numbers k such that τ(k) = τ(k+1) mod 691, where τ is Ramanujan's τ function A000594. A121733

Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers. A108926

Initial members of abundant quadruplets, i.e., values of k such that (k, k+2, k+4, k+6) are all abundant numbers. A231089

If F is the Fermat point of a triangle ABC with A < B < C < 2*π/3, where AB, BC, CA, FA, FB and FC are all positive integers, then, this sequence gives the sum FA + FB + FC when gcd(a, b, c) = A351477(n). A351476

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+953)² = y². A129975

G.f.: (2·x+4·x²+4·x³+4·x⁴+2·x⁵)/((1-x)²*(1-x²)³*(1-x³)⁴*(1-x⁴)). A127790

Bi-unitary deficient-perfect numbers: bi-unitary deficient numbers k for such that 2·k - bsigma(k) is a bi-unitary divisor of k, where bsigma(k) is the sum of bi-unitary divisors of k (A188999). A303358

Coordination sequence for σ-CrFe, Position Xf. A9958

Distinct even numbers in the numerators of the 1/3-Pascal triangle (by row). A46559