17744
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 34410
- Proper Divisor Sum (Aliquot Sum)
- 16666
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8864
- Möbius Function
- 0
- Radical
- 2218
- Omega Function (Ω)
- 5
- 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
- 22
- 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
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=45A007258
- Sums of 5 distinct powers of 4.at n=35A038473
- McKay-Thompson series of class 6E for the Monster group with a(0) = 1.at n=45A045488
- Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.at n=6A103996
- McKay-Thompson series of class 6E for the Monster group with a(0) = 3.at n=45A105559
- McKay-Thompson series of class 6E for the Monster group with a(0) = -5.at n=45A128632
- McKay-Thompson series of class 6E for the Monster group with a(0) = 4.at n=45A128633
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=12A165599
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2>x^2+y^2.at n=41A211637
- Expansion of (phi(-x) / phi(-x^3))^2 in powers of x where phi() is a Ramanujan theta function.at n=44A217771
- Number of n X 2 0..4 arrays of sums of 2 X 2 subblocks of some (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=9A226988
- Number of partitions p of n not containing ceiling((min(p) + max(p))/2) as a part.at n=37A238485
- McKay-Thompson series of class 6E for the Monster group with a(0) = 7.at n=45A258094
- Expansion of (phi(q) / phi(q^3))^2 in powers of q where phi() is a Ramanujan theta function.at n=44A261321
- Number of binary strings of length n that are "prefix heavy", meaning that the fraction of "1" bits in any nonempty prefix is at least as great as the fraction of "1" bits in the entire string.at n=18A298072
- a(0) = 0. a(n) = the second smallest number greater than a(n-1) that cannot be written as a sum of any previous distinct terms.at n=17A343328
- Number of regions formed in a square with edge length 1 by straight line segments when connecting the internal edge points that divide the sides into segments with lengths equal to the Farey series of order n to the equivalent points on the opposite side of the square.at n=5A359653
- E.g.f. A(x) satisfies A(x) = 1/( exp(-x) - x*A(x) )^2.at n=4A379935