4760
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 8200
- 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
- 1536
- Möbius Function
- 0
- Radical
- 1190
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 77
- 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
- Coefficients of Legendre polynomials.at n=3A001798
- Expansion of (1-4*x)^(7/2).at n=13A002423
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=24A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=24A002706
- Numbers that are the sum of 7 positive 7th powers.at n=18A003374
- McKay-Thompson series of class 4B for the Monster group.at n=3A007247
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=26A008317
- a(n) = floor(n*(n-1)*(n-2)/9).at n=36A011891
- Expansion of x/(1-5*x-3*x^2).at n=6A015536
- Theta series of A*_16 lattice.at n=26A023928
- a(n) = (1/2)*s(n+3), where s = A025251.at n=14A025252
- Total number of Hamiltonian cycles avoiding the root-edge in rooted cubic bipartite planar maps with 2n nodes.at n=5A028475
- Number of ways to partition n labeled elements into sets of different odd sizes and order the sets.at n=14A032012
- Numbers whose set of base-13 digits is {2,3}.at n=14A032813
- Numbers whose set of base-13 digits is {1,2}.at n=29A032933
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=39A033026
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=28A033580
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=34A033996
- a(n) = 2*binomial(n,4).at n=17A034827
- Composites n such that A001414(n) is odd and divides n.at n=39A036346