8881
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 191
- 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
- 8692
- Möbius Function
- 1
- Radical
- 8881
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 184
- 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 that are the sum of 10 positive 7th powers.at n=39A003377
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=34A007811
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T4 atom.at n=12A019161
- a(n) = s(1)*s(2)*...*s(n)*(1/s(1) - 1/s(2) + ... + c/s(n)), where c = (-1)^(n+1) and s(k) = 4*k - 3 for k = 1, 2, 3, ....at n=4A024383
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=48A026042
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=30A031818
- "DIK" (bracelet, indistinct, unlabeled) transform of 1,3,5,7...at n=10A032288
- Numbers having three 8's in base 10.at n=25A043523
- Number of independent sets of nodes in graph K_6 X C_n (n > 2).at n=5A051931
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=32A053521
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=21A055164
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=50A068923
- Antidiagonal sums of square array A082011 divided by the number of the antidiagonal.at n=46A082015
- Coefficients of 1/sqrt(1-14*x+9*x^2); also, a(n) is the central coefficient of (1+7x+10x^2)^n.at n=4A084774
- Near-repdigit semiprimes with 8 as repeated digit.at n=7A105989
- Numbers k such that 1 + (x + x^3 + x^5 + x^7 + ... + x^(2*k+1)) is irreducible over GF(2).at n=28A107220
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=26A116014
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=35A123997
- a(1) = 1; a(n) = max{ 5*a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1.at n=40A130667
- Least power of 3 having exactly n consecutive 6's in its decimal representation.at n=6A131547