8796
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20552
- Proper Divisor Sum (Aliquot Sum)
- 11756
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2928
- Möbius Function
- 0
- Radical
- 4398
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of a modular function for Gamma_0(15).at n=16A002510
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T2 atom.at n=12A019106
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=45A052477
- The number of primes between n and n^3 (with n and n^3 excluded).at n=44A117491
- Number of primitive Dyck factors in all skew Dyck paths of semilength n.at n=8A129156
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=32A132184
- Partial sums of prime numbers of measurement A002049.at n=28A173702
- a(n) = (A216363(n) - 1)/118.at n=17A216380
- Number of partitions of n where the difference between consecutive parts is at most 9.at n=33A238869
- Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape P; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=22A247706
- Numbers k such that Bernoulli number B_k has denominator 2730.at n=33A249134
- Expansion of Product_{k>=0} (1+x^(4*k+1))^4.at n=49A261638
- Positive integers m such that pi(m^2) = pi(j^2) + pi(k^2) for no 0 < j <= k < m.at n=39A262408
- a(n) = p*(p - 1)*(501*p^3 - 414*p^2 + 111*p - 54)/120, where p = prime(n).at n=2A273223
- Partial sums of A080670.at n=44A287881
- Numbers z such that x^2 + y^8 = z^2 for positive integers x and y.at n=34A293694
- Numbers k such that the coefficient of x^k in the expansion of Product_{j>=1} (1 - x^j)^5 is zero.at n=16A302057
- T(n, k) = P(n-k, k) where P(n, x) = Sum_{k=0..n} A064189(n, k)*x^k. Triangle read by rows, for 0 <= k <= n.at n=60A330792
- Array read by antidiagonals: T(n,k) is the number of unrooted 3-connected triangulations of a disk with n interior nodes and k nodes on the boundary, n >= 1, k >= 3.at n=41A342053
- Number of unrooted 3-connected triangulations of a hexagon with n interior nodes.at n=5A342055