17427
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24016
- Proper Divisor Sum (Aliquot Sum)
- 6589
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11232
- Möbius Function
- -1
- Radical
- 17427
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 88.at n=25A031586
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 88.at n=2A031766
- Number of dissectable polyhedra with n tetrahedral cells and symmetry of type F.at n=28A047760
- a(n) = A047760(2n+1).at n=14A047761
- Number of dissectable polyhedra with n tetrahedral cells and symmetry of type D.at n=43A047773
- Numbers k such that k^10 == 1 (mod 11^4).at n=13A056094
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1100-0111-0011 pattern in any orientation.at n=10A147210
- One half of the y members of the positive proper solutions (x = x1(n), y = y1(n)) of the first class for the Pell equation x^2 - 2*y^2 = +7^2.at n=5A275794
- Values of m such that m^2 + 6 is a triangular number (A000217).at n=16A276600
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1-j*x^j)^(j^(k*j)) in powers of x.at n=26A294609
- Expansion of Product_{k>=1} 1/(1 - k*x^k)^(k^k).at n=5A294610
- Numbers n such that there are precisely 5 groups of orders n and n + 1.at n=40A295991
- a(n) is the number of integer partitions of n for which the largest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=55A318203
- Numbers k such that 441*2^k+1 is prime.at n=26A323149
- Total number of vertices in the graph (see A392172) formed when n points are placed in general position on each edge of a square and a chord is drawn from each point to the 3*n points on the other three sides.at n=7A392173
- Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k*n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph.at n=37A392261