17396
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 30450
- Proper Divisor Sum (Aliquot Sum)
- 13054
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8696
- Möbius Function
- 0
- Radical
- 8698
- 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
- yes
- 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
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=33A031838
- a(n) = Sum_{h=0..n, k=0..n} T(h,k), array T counting knights' moves as in A049604.at n=35A047881
- Triangle: self-converse semigroups of order n with k idempotents.at n=33A058118
- Number of series-parallel networks with n labeled edges, multiple edges not allowed.at n=7A058381
- Number of partitions of n such that the least part occurs with odd multiplicity.at n=38A096375
- Greatest number m such that the fractional part of (101/100)^A153671(m) >= 1-(1/m).at n=75A153675
- Greatest number m such that the fractional part of (101/100)^A153672(n) >= 1-(1/m).at n=6A153676
- Number of isosceles triangles that can be formed from the n^2 points of n X n grid of points (or geoboard).at n=10A186434
- Number of (w,x,y,z) with all terms in {1,...,n} and 2*w*x<3*y*z.at n=13A211920
- Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.at n=4A278173
- Number of n X 5 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.at n=3A278174
- T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.at n=31A278177
- T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.at n=32A278177
- Number of nX4 0..1 arrays with every element unequal to 0, 1 or 3 king-move adjacent elements, with upper left element zero.at n=19A303678
- Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct.at n=22A316560