17204
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 19084
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7040
- Möbius Function
- 0
- Radical
- 8602
- Omega Function (Ω)
- 5
- 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
- 27
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=44A000297
- a(n) = n*(n+1)*(2*n+1)*(3*n+1)/6.at n=11A011195
- [ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ].at n=21A024191
- Numbers whose set of base-16 digits is {3,4}.at n=23A032840
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 18 (most significant digit on right).at n=17A061947
- Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.at n=27A090847
- a(n) = n*(n+5)*(50+45*n+n^2)/24.at n=16A101861
- a(n) = Sum_{k + l*m <= n} (k + l*m), with 0 <= k,l,m <= n.at n=20A106846
- Numbers k such that k^2 divides 21^k-1.at n=34A128401
- Ceiling(4*Pi*n^2).at n=36A135971
- Numbers k such that k and k+1 have 4 distinct prime factors.at n=16A140078
- a(n) = 2*n^3 - 3*n^2 + 5.at n=21A152064
- Number of 3 X 3 0..n symmetric arrays with all rows summing to floor(n*3/2).at n=32A213801
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2*b(n-1) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=15A294561
- Numbers k such that k and k+1 each have at least 4 distinct prime factors.at n=16A321504
- Least k such that there are exactly A003586(n) ways to choose a binary index of each binary index of k.at n=21A368111
- Sorted positions of first appearances in A368109 (number of ways to choose a binary index of each binary index).at n=35A368112
- Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers.at n=5A378538
- Numbers that are primitive Zumkeller, but not primitive non-deficient.at n=2A378657