17100
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
- 54
- Divisor Sum
- 56420
- Proper Divisor Sum (Aliquot Sum)
- 39320
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 570
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Powers of fifth root of 13 rounded to nearest integer.at n=19A018151
- Powers of fifth root of 13 rounded up.at n=19A018152
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=5.at n=18A022310
- Matrix 5th power of Stirling2 triangle A008277.at n=17A039813
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(2,5) + cn(3,5) and cn(0,5) <= cn(4,5) + cn(2,5) + cn(3,5).at n=36A039845
- Base-8 palindromes that start with 4.at n=29A043024
- Third unsigned column of triangle A051523.at n=5A051565
- Take n-th palindromic prime p, let P = all primes having same digits; a(n) = q-p where q is smallest prime in P >p if q exists; otherwise a(n) = p-r where r is largest prime in P <p if r exists; otherwise a(n) = 0.at n=53A052507
- Take n-th palindromic prime p, let P = all primes having same digits; a(n) = q-p where q is smallest prime in P >p if q exists; otherwise a(n) = p-r where r is largest prime in P <p if r exists; otherwise a(n) = 0.at n=54A052507
- Non-palindromic number and its reversal are both multiples of 19.at n=34A062916
- Number of atoms in first n shells of type I hyperfullerene.at n=9A063497
- Numbers n such that sum of digits of n equals the sum of digits of n^3.at n=30A070276
- Number of nonisomorphic configurations of n triples in Steiner triple systems.at n=7A082789
- Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.at n=41A099407
- Numbers k such that 7*10^k + 8*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A103066
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=39A118470
- Expansion of x*(1 + 4*x + 6*x^2 + 6*x^3)/((1-x)*(1 - 11*x^2 - 12*x^3)).at n=7A122058
- Experience Points thresholds for levels in the pen and paper role-playing game "Das Schwarze Auge" (DSA, a.k.a. "The Dark Eye").at n=18A124437
- Negative value of coefficient of x^(n-2) in the characteristic polynomial of a certain n X n integer circulant matrix.at n=18A127407
- Exponential aspiring numbers.at n=29A127658