10665
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 8535
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5616
- Möbius Function
- 0
- Radical
- 1185
- Omega Function (Ω)
- 5
- 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
- 192
- 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
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=61A035582
- Positive numbers having the same set of digits in base 9 and base 10.at n=35A037443
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n+2)/3.at n=27A048079
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n+3)/3.at n=27A048090
- Numbers k such that 2*7^k + 3 is prime.at n=18A059075
- Expansion of (1-x)^(-1)/(1-x-x^2+2*x^3).at n=36A077867
- a(n) = n^3 + 17.at n=22A084379
- Difference between n-th prime squared and n-th perfect square.at n=27A106588
- Numbers of the form 56+p^2 (where p is a prime).at n=26A138690
- 5 times octagonal numbers: a(n) = 5*n*(3*n-2).at n=27A153795
- Number of n X 4 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically.at n=8A207064
- Pairs of deficient numbers having the same value of sigma(k)/k in the order that they are found.at n=38A211680
- Deficient numbers n having a companion m > n such that sigma(n)/n = sigma(m)/m.at n=19A212608
- Record holders for lengths of ever-decreasing aliquot sequences.at n=16A234899
- a(n) = A000215(n) mod A000045(n).at n=22A262348
- a(n) = n*(25*n - 39)/2.at n=30A263231
- a(n) = A277713(n)/3.at n=46A277714
- Smallest k such that A285481(k) >= n, i.e., lowest d where the smallest integer radius needed for a d-dimensional ball to have a volume >= 1 is at least n.at n=25A285482
- Number of inequivalent vertex colorings of connected graphs on n unlabeled vertices.at n=6A340027
- For 1<=x<=n, 1<=y<=n, with gcd(x,y)=1, write 1 = gcd(x,y) = u*x+v*y with u,v minimal; a(n) = sum of the values of u^2+v^2.at n=22A345431