8744
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
- 8
- Divisor Sum
- 16410
- Proper Divisor Sum (Aliquot Sum)
- 7666
- 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
- 4368
- Möbius Function
- 0
- Radical
- 2186
- Omega Function (Ω)
- 4
- 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
- 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
- Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.at n=37A023893
- a(n) = [ 3rd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=12A025194
- 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 45.at n=38A031543
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=6A045056
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=22A045303
- a(n) = T(n,n+3), array T as in A047130.at n=7A047138
- Third convolution of A001405 (central binomial numbers).at n=9A054443
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 15.at n=17A068036
- Numbers k such that 2^k mod k = 2^k mod k^2.at n=26A068535
- Interprimes which are of the form s*prime, s=8.at n=16A075283
- Sums of (one or more distinct) k-perfect numbers.at n=43A083865
- Even pseudoprimes to base 9.at n=18A090083
- Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^3-M)/2, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.at n=29A096034
- Riordan array (1/(1-4*x*c(x)),xc(x)), c(x) the g.f. of A000108.at n=49A117380
- Number of partitions of n such that if the smallest part is k, then both k and k+1 occur exactly once.at n=50A118267
- Numbers k that are not powers of 2 such that 2^k mod k = 2^k mod k^2; or A068535 with powers of 2 excluded.at n=12A125773
- a(n) = A132433(n) - 33.at n=2A132434
- Concatenation of first two digits and last two digits of n-th even superperfect number A061652(n).at n=31A138869
- Total number of line segments between points visible to each other in a square n X n lattice.at n=12A141255
- A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.at n=35A143034