Properties of the Number 9925

Nine Thousand Nine Hundred Twenty-Five

Basics

Value: 9924 → 9925 → 9926

Parity: odd

Prime: No

Previous Prime: 9923

Next Prime: 9929

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 397

Divisors: 1, 5, 25, 397, 1985, 9925

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011011000101

Octal: 23305

Duodecimal: 58B1

Hexadecimal: 26c5

Square: 98505625

Square Root: 99.62429422585637

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 (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001. A259962

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862

Numbers n such that n and n+2 are of the form p²*q where p and q are distinct primes. A74173

Numbers k congruent to 1 or 5 mod 6, for which A064989(A064989(σ(k))) > A064989(A064989(k)), where A064989 shifts the prime factorization one step towards lower primes, and σ is the sum of divisors function. A348754

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

a(n) is the smallest multiple of n such that a(n) mod 100 = n and S(n)=n where S(n) is the sum of the base-ten digits of n, or 0 if no such a(n) exists. A75154

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17. A146340

Numbers k such that k and k+2 both have exactly 6 divisors. A356743

a(n) = 3·n*(n+1) + 7. A378569