17001
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 24570
- Proper Divisor Sum (Aliquot Sum)
- 7569
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11328
- Möbius Function
- 0
- Radical
- 5667
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 203
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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)/15).at n=24A011925
- Sum of squares of first n positive integers congruent to 1 mod 3.at n=17A024215
- Number of 7-line partitions of n (i.e., planar partitions of n with at most 7 lines).at n=17A225197
- Number of (n+1) X (2+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2 X 2 subblock.at n=3A235896
- Number of (n+1)X(4+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock.at n=1A235898
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock.at n=11A235902
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock.at n=13A235902
- Number of partitions p of n not containing floor((min(p) + max(p))/2) as a part.at n=37A238483
- A239461(n) / n^2.at n=16A239464
- E.g.f.: Sum_{n>=0} exp(n*5^n*x) * x^n/n!.at n=4A245076
- Number of n X 2 0..1 arrays with every element equal to 2, 3 or 4 king-move adjacent elements, with upper left element zero.at n=13A297860
- Terms k of A228058 such that gcd(k - A048250(k), A162296(k) - k) = A162296(k) - k.at n=27A325376
- Indices at which record high values in A357477 appear.at n=10A357676