17085
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29376
- Proper Divisor Sum (Aliquot Sum)
- 12291
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- 1
- Radical
- 17085
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=26A011931
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=29A049355
- Primitive elements of A119432.at n=37A119433
- Multiples of 17 containing a 17 in their decimal representation.at n=36A121037
- Poincaré series [or Poincare series] P(C^o_{3,2}; x).at n=13A124633
- a(n) = 3^n*Sum_{ k=0..n } binomial(2*k,k)/3^k.at n=7A132310
- Number of binary strings of length n with no substrings equal to 0001 0101 or 0111.at n=20A164470
- Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array.at n=22A220029
- Products p*q*r*s of distinct primes for which (p*q*r*s + 1)/2 is prime.at n=37A234501
- Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 3.at n=14A244532
- a(n) = 2*A090495(n) - 1.at n=30A274297
- a(n) = Sum_{k=0..floor(n/4)} Stirling2(n - 3*k,n - 4*k).at n=20A357926
- Records in A030000.at n=40A372044