9917
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10176
- Proper Divisor Sum (Aliquot Sum)
- 259
- 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
- 9660
- Möbius Function
- 1
- Radical
- 9917
- 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
- 47
- Smith Number
- no
- 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
- a(n) = n * prime(n).at n=46A033286
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 16.at n=32A050965
- a(1) = 1; a(n) = smallest multiple of n-th prime (n>1) with all odd digits.at n=46A062280
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=34A067354
- Treated as strings, n begins with Floor(sqrt(n)).at n=40A069086
- a(n) = prime(n) * prime(prime(n)).at n=14A073065
- Sum of squares of five consecutive primes.at n=11A131686
- X-toothpick sequence on Z^3 lattice (see Comments for precise definition).at n=30A160170
- Number of binary strings of length n with no substrings equal to 0001, 0100, or 1110.at n=17A164468
- Number of meanders of length n.at n=13A199932
- Number of partitions of n such that the (sum of distinct odd parts) <= n/2.at n=33A284613
- a(n) = (n^3 + 6*n^2 + 17*n + 6)/6.at n=37A341209
- a(n) = Sum_{p|n, p prime} p * prime(p).at n=46A351369
- a(n) = (8*n^3 + 12*n^2 + 4*n - 9)/3.at n=14A358035
- Number of Dyck paths of semilength n such that neighboring peaks differ in height by at most one and first and last peak are at height one.at n=14A371726
- Number of compositions of n where the median of parts equals 1.at n=14A391398