17133
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 22848
- Proper Divisor Sum (Aliquot Sum)
- 5715
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11420
- Möbius Function
- 1
- Radical
- 17133
- Omega Function (Ω)
- 2
- 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
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of Q-graphs with 2n edges.at n=7A007170
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=33A049355
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=49A051965
- a(n) = n^3 + 73*n^2 + n + 67.at n=14A163303
- a(n) = Sum_{k<=n} A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m.at n=38A175254
- Irregular triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k isolated fixed points.at n=22A184178
- Number of permutations of {1,2,...,n} having no isolated fixed points. A fixed point j of a permutation is said to be isolated if neither j-1 nor j+1 is a fixed point. For example, 4135267 has only 3 as an isolated fixed point.at n=8A184179
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 451", based on the 5-celled von Neumann neighborhood.at n=30A272258
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 577", based on the 5-celled von Neumann neighborhood.at n=26A273024
- Number of multisets of exactly eight nonempty binary words with a total of n letters such that no word has a majority of 0's.at n=9A316409
- Number of integer partitions of n whose multiplicities cover an initial interval of positive integers.at n=43A317081
- Total number of colors in all colored compositions of n using all colors of an initial interval of the color palette such that all parts have different color patterns and the patterns for parts i are sorted and have i colors (in arbitrary order).at n=5A327676
- Number of ways to write n as an ordered sum of 9 primes.at n=15A340965
- Number of unlabeled nonseparable (or 2-connected) loopless multigraphs with circuit rank n and degree >= 3 at each node.at n=6A360879