17199
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31920
- Proper Divisor Sum (Aliquot Sum)
- 14721
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- 0
- Radical
- 273
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 66
- Smith Number
- yes
- 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) = n*(n+5)*(n+6)*(n+7)/24.at n=21A005587
- a(n) = (2*n - 3)n^2.at n=21A015238
- a(n) = T(2n,n-1), where T is the array in A026300.at n=6A026305
- a(n) = 49*(n-1)*(n-2)/2.at n=25A027469
- Sums of 3 distinct powers of 7.at n=15A038482
- Schroeder pseudoprimes: Composites k that divide the k-th Schroeder number A001003(k-1).at n=24A075764
- For even n, a(n) = a(n-2) + a(n-1) + 2^(n/2-2), n>2. For odd n, a(n) = a(n-2) + a(n-1).at n=20A079289
- a(n) = (6^n - 5^n + 4^n - 3^n)/2.at n=6A083328
- Least multiple of 2n-1 ending in prime(n), 0 if no such number exists.at n=45A114780
- Triangle of numbers related to the spectrum of the hydrogen (H) atom.at n=25A119937
- Triangle read by rows: T(n,k) is the number of ternary trees with n edges and having k vertices of outdegree 2 (n >= 0, k >= 0).at n=18A120982
- a(n) = n^5 + n^3 + n^2.at n=7A133073
- p^5 + p^3 + p^2. Exponents are prime numbers and p = prime(n).at n=3A135182
- a(n) = n^3 - (3*(n+3))^2.at n=30A153259
- a(n) = binomial(n+1,2)*7^2.at n=26A162942
- Polynomial expansion of p(x)=1/(1 - 3 x + 2 x^2 + 2 x^3 - 4 x^4 + 4 x^5 - 2 x^6 - 2 x^7 + 3 x^8 - x^9 - x^17 + 3 x^18 - 2 x^19 - 2 x^20 + 4 x^21 - 4 x^22 + 2 x^23 + 2 x^24 - 3 x^25 + x^26).at n=37A164787
- Number A(n,k) of standard Young tableaux of shape [n*k,n]; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=59A214776
- Number of standard Young tableaux of shape [4n,4].at n=6A215544
- a(n) = binomial(7*n,n)*(5*n+1)/(6*n+1).at n=4A215551
- Coefficients of (x^(1/5)*d/dx)^n for positive integer n.at n=22A223535