8817
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 2943
- 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
- 5876
- Möbius Function
- 1
- Radical
- 8817
- 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
- 96
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=29A020423
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=40A024842
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=29A031560
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=31A061658
- a(n) = 6*n^2 + 4*n + 1.at n=38A080859
- Add/multiply sequence, see example.at n=37A093361
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=31A104809
- Start of record gap in odd semiprimes A046315.at n=7A114057
- Numbers n such that every digit occurs at least once in n^3.at n=36A119735
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks of maximum height (1 <= k <= n).at n=45A152879
- Number of Dyck paths of semilength n having exactly one peak of maximum height.at n=9A152880
- Numbers k such that the fractional part of (10/9)^k is less than 1/k.at n=9A153694
- a(n) = Sum_{i=1...n} Sum_{j=1..i} lcm(i,j)/i.at n=40A232533
- Numbers k such that prime(k) * 2^k - 1 is prime.at n=18A239741
- G.f.: G(F(x)) is a power series in x consisting entirely of positive integer coefficients such that G(F(x) - x^k) has negative coefficients for k>0, where G(x) = 1 + x*G(x)^3 is the g.f. of A001764 and F(x) is g.f. of A251690.at n=13A251691
- Numbers k such that the concatenation k21 is a square.at n=37A321383
- Where the zeros in A123066 occur.at n=14A321962
- k such that L(H(k,1)^2) = 2*L(H(k,1)) where L(x) is the number of terms in the continued fraction of x and H(k,r) = Sum_{u=1..k} 1/u^r.at n=36A336089
- Fourier coefficients of the modular form (1/t_{6a}^3) * (1-6*sqrt(-3)/t_{6a}) * (1-12*sqrt(-3)/t_{6a})^(2/3) * F_{6a}^16.at n=5A341572
- a(n) is the lower end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388).at n=6A350098