17897
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19536
- Proper Divisor Sum (Aliquot Sum)
- 1639
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16260
- Möbius Function
- 1
- Radical
- 17897
- 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
- 216
- 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
- McKay-Thompson series of class 11A for the Monster group with a(0) = -5.at n=12A003295
- McKay-Thompson series of class 11A for the Monster Group.at n=12A058205
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=33A063055
- Interprimes which are of the form s*prime, s=11.at n=7A075286
- Numbers k such that h(k) = h(k-1) + h(k-2), where h(k) = A006577(k) + 1 is the length of the sequence {k, f(k), f(f(k)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=27A078418
- McKay-Thompson series of class 11A for the Monster Group with a(0) = 6.at n=12A128525
- McKay-Thompson series of class 11A for the Monster group with a(0) = 2.at n=12A134784
- Number of n X 5 binary arrays with all 1s connected, all corners 1, and no 1 having more than two 1s adjacent.at n=8A163736
- Number of n X 9 binary arrays with all 1s connected, all corners 1, and no 1 having more than two 1s adjacent.at n=4A163740
- Positions of zeros in A165597.at n=21A165598
- Triangle, read by rows, given by [0,1,1,1,1,1,1,1,...] DELTA [1,0,1,0,2,0,3,0,4,0,5,0,6,0,...] where DELTA is the operator defined in A084938.at n=48A173050
- Number of nX4 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to itself.at n=11A195965
- Number of partitions p of n such that (number of parts of p) - min(p) is not a part of p.at n=36A238548