Properties of the Number 9873

Nine Thousand Eight Hundred Seventy-Three

Basics

Value: 9872 → 9873 → 9874

Parity: odd

Prime: No

Previous Prime: 9871

Next Prime: 9883

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1097

Divisors: 1, 3, 9, 1097, 3291, 9873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010010001

Octal: 23221

Duodecimal: 5869

Hexadecimal: 2691

Square: 97476129

Square Root: 99.36297097007517

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

Odd composites k such that σ(k) has the same powerful part as k, where σ is the sum of divisors function. A386425

Sums of three consecutive pentagonal numbers. A129863

Numbers k for which the 3-adic valuations of k and σ(k) are equal, and that also satisfy Euler's criterion for odd perfect numbers (see A228058). A349755

Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum. A119897

Terms k of A228058 such that gcd(k - A048250(k), A162296(k) - k) = A162296(k) - k. A325376

G.f.: A(x,y) = ∑_n>=0 xⁿ * ((1+x)ⁿ + y)ⁿ, where A(0) = 0, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) = ∑_n>=0 xⁿ * ∑_k=0..n T(n,k)*xⁿ*y^k, read by rows. A325580

a(n) = ∑_k=1..n kⁿ * sigma₀(k). A356239

n written in fractional base 10/9. A24664

Nonsquarefree numbers k such that A003415(k) divides A276086(k), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A371085

Numbers k satisfying Euler's criterion for odd perfect numbers (A228058), such that σ(k)+k is also a multiple of 3, and σ(k) preserves the 3-adic valuation of k, where σ is the sum of divisors function. A387162