9895
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11880
- Proper Divisor Sum (Aliquot Sum)
- 1985
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7912
- Möbius Function
- 1
- Radical
- 9895
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerator of Sum_{k=1..n} 1/phi(k).at n=24A028415
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=18A031902
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) <= cn(3,5).at n=71A036870
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=28A045216
- Index k in A095773 where a string of n identical values occurs.at n=23A096183
- Numbers k such that k^2 == 2 (mod 23^2).at n=37A156849
- Polynomial expansion of p(x)=1/(1 - 3 x + 2 x^2 + 2 x^3 - 4 x^4 + 4 x^5 - 2 x^6 - 2 x^7 + 3 x^8 - x^9 - x^17 + 3 x^18 - 2 x^19 - 2 x^20 + 4 x^21 - 4 x^22 + 2 x^23 + 2 x^24 - 3 x^25 + x^26).at n=32A164787
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=12A166057
- Partial sums of A079062.at n=27A177455
- E.g.f.: exp( exp(3*x) - 2*exp(2*x) + 2*exp(x) - 1 ).at n=6A194006
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood.at n=24A270731
- a(n) = (prime(1+n)*prime(n)) + prime(n) + 1.at n=24A286624
- Least number of consecutive primes beginning with 2, the sum of which (A007504) exceeds e^n.at n=20A323361
- Numbers that are the sum of ten fourth powers in exactly nine ways.at n=40A345861
- a(n) = Sum_{k=1..n} sigma_2(k) * floor(n/k).at n=26A356042
- Number of mutual-visibility sets in the n-ladder graph.at n=14A389183