8110
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14616
- Proper Divisor Sum (Aliquot Sum)
- 6506
- 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
- 3240
- Möbius Function
- -1
- Radical
- 8110
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 18.at n=9A031696
- Numbers whose set of base-9 digits is {1,2}.at n=38A032930
- Numbers having four 1's in base 9.at n=26A043460
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=34A063366
- Fixed points of A065191.at n=8A065197
- Harshad numbers which terminate in their digital sum.at n=44A070938
- Number of unlabeled alternating octopuses with n black nodes and n white nodes.at n=8A091468
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=23A099834
- a(n) = (3+n)*(2 + 33*n + n^2)/6.at n=27A101860
- Moebius transform of binomial(n+3, 4).at n=19A117109
- Number of semiprimes <= 2^n.at n=14A125527
- Sequence A001333 with last digits set to zero.at n=11A131037
- a(n) = prime(prime(prime(prime(A028815(n) - 1) - 1) - 1) - 1) - 1.at n=6A141132
- a(n) = prime(prime(prime(n) - 1) - 1) - 1, where prime(n) = n-th prime.at n=39A141208
- a(n) = prime(prime(prime(prime(n) - 1) - 1) - 1) - 1, where prime(n) is the n-th prime.at n=12A141217
- a(n) = 3*A146085(n) - 2.at n=49A146091
- Numbers k such that (sum of base-2 digits of k) = (sum of base-10 digits of k) = 10.at n=6A152207
- a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that any five consecutive digits in the sequence sum up to a prime.at n=27A152605
- a(n) + a(n+1) + a(n+2) = n^3.at n=30A152728
- 324n^2 + 2n.at n=4A158271