17084
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 29904
- Proper Divisor Sum (Aliquot Sum)
- 12820
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8540
- Möbius Function
- 0
- Radical
- 8542
- 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
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 4 positive 6th powers.at n=42A003360
- Molien series for alternating group Alt_12 (or A_12).at n=38A008635
- Number of partitions of n into at most 12 parts.at n=38A008641
- M-sequences from multicomplexes on 4 variables with all monomials of degree 7 but none of degree larger than n.at n=9A011815
- Number of permutations of [n] with exactly 3 descents which avoid the pattern 1324.at n=8A098994
- Number of ways to reciprocally link elements of an n X n array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor.at n=3A220615
- Number of ways to reciprocally link elements of an nX4 array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor.at n=3A220617
- T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor.at n=24A220621
- Number of ways to reciprocally link elements of an 4Xn array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor.at n=3A220623
- Number of idempotent 3 X 3 -n..n matrices.at n=7A223455
- Number of partitions p of n such that (number of numbers in p of form 3k+1) > (number of numbers in p of form 3k+2).at n=40A241739
- Growth series for group with presentation < S, T : S^2 = T^3 = (S*T)^7 = 1 >.at n=37A298805
- Number of 7-element subsets of [n] having a prime element sum.at n=13A320682