17101
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19950
- Proper Divisor Sum (Aliquot Sum)
- 2849
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14616
- Möbius Function
- 0
- Radical
- 2443
- 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
- no
- Harshad Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Fibonacci sequence beginning 1, 6.at n=18A022096
- Numbers whose base-7 representation contains exactly four 0's.at n=23A043396
- a(n) = 3*a(n-1) - a(n-2) with a(0)=1, a(1)=7.at n=9A055267
- Composite numbers m such that phi(m)*sigma(m) is divisible by m-1.at n=27A065149
- Number of 3 X 3 symmetric matrices over Z(n) having determinant 0.at n=6A115223
- a(0)=1, a(1)=1, a(n)=7*a(n/2) for n=2,4,6,..., a(n)=6*a((n-1)/2)+a((n+1)/2) for n=3,5,7,....at n=36A116522
- a(n) = n^5 + n^3 - n^2.at n=7A133072
- p^5 + p^3 - p^2. Exponents are the prime numbers in decreasing order and p is the n-th prime.at n=3A135181
- Triangle of coefficients of the polynomials x^(n - 1)*A(n,x + 1/x), where A(n,x) are the Eulerian polynomials of A008292.at n=52A143505
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 10000-11111-00001 pattern in any orientation.at n=16A147073
- a(n) = 12*n^2 + 18*n + 7.at n=37A154105
- a(n) = 900*n + 1.at n=18A158407
- a(n) = 76*n^2 + 1.at n=15A158767
- Cuban composites: composite numbers equal to the difference of two consecutive cubes.at n=40A159961
- Number of triangles that can be built from rods with lengths 1,2,...,n by using and concatenating all rods.at n=39A160455
- a(n) = 13*n^2 + 7*n + 1.at n=35A168240
- Number of nX5 binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors.at n=5A183367
- T(n,k)=Number of nXk binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors.at n=49A183368
- T(n,k)=Number of nXk binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors.at n=50A183368
- Composite numbers k such that k = (product of divisors of k) mod (sum of divisors of k).at n=41A187712