7752
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 13848
- 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
- 2304
- Möbius Function
- 0
- Radical
- 1938
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 52
- 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 if there are two kinds of 1, two kinds of 2 and two kinds of 3.at n=19A000098
- Fermat coefficients.at n=7A000972
- a(n) = binomial(3*n,n)/(2*n+1) (enumerates ternary trees and also noncrossing trees).at n=7A001764
- A nonlinear recurrence.at n=37A003073
- a(n) = 10*binomial(2*n + 1, n - 4)/(n + 6).at n=5A003519
- Number of walks of length 2n+7 in the path graph P_8 from one end to the other.at n=5A005023
- a(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=9A005557
- Alkane (or paraffin) numbers l(8,n).at n=15A005995
- Number of distinct perforation patterns for deriving (v,b) = (n+3,n) punctured convolutional codes from (2,1).at n=6A007224
- a(n) = 3*binomial(4*n,n)/(n+1).at n=5A007228
- a(n) = floor(C(n,6)/7).at n=21A011797
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=20A011925
- Theta series of D*_19 lattice.at n=12A022072
- Fibonacci sequence beginning 0, 3.at n=18A022086
- Theta series of A*_18 lattice.at n=30A023930
- Duplicate of A007228.at n=5A024497
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 22.at n=7A031700
- Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=14A032092
- Number of necklaces with 7 black beads and n-7 white beads.at n=15A032192
- Super-4 Numbers (4 * n^4 contains substring '4444' in its decimal expansion).at n=3A032744