8717
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9120
- Proper Divisor Sum (Aliquot Sum)
- 403
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8316
- Möbius Function
- 1
- Radical
- 8717
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Numerators of continued fraction convergents to sqrt(356).at n=7A041674
- Denominators of continued fraction convergents to sqrt(571).at n=10A042095
- Numerators of continued fraction convergents to sqrt(801).at n=5A042544
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 16.at n=30A050965
- Coefficients of a polynomial used in calculation of A055913.at n=29A055916
- Transform of A059502 applied to sequence 3,4,5,...at n=8A059506
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 11.at n=29A064909
- a(n) = 4 + floor(Sum_{k=1..n-1} a(k) / 2).at n=19A120134
- Triangle read by rows: A007318 * A026794.at n=55A137151
- Greedy Coppersmith-Winograd sequence.at n=23A172161
- Partial sums of A002503.at n=38A176358
- Number of parts of the n-th subshell of the head of the last section of the set of partitions of any odd integer >= 2n+1.at n=17A182993
- Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y| not distinct.at n=30A213491
- Binomial transform of the partition numbers (A000041).at n=10A218481
- Numbers n such that A062234(n) = A062234(n+1) = A062234(n+2).at n=35A258449
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood.at n=24A271127
- Number of partitions of n-th triangular number (A000217) into distinct triangular parts.at n=38A288126
- Moran numbers whose arithmetic derivative is also a Moran number (A001101).at n=13A349485
- a(n) = Sum_{k=1..n} binomial(floor(n/k)+2,3).at n=33A364970
- Median, as a function of n, of the probability mass function s(k-1,n-1)/k!, where k>=n and s(a,b) denotes the unsigned Stirling number of the first kind.at n=8A374958