4324
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3740
- 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
- 2024
- Möbius Function
- 0
- Radical
- 2162
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 139
- 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
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=23A000330
- Related to zeros of Bessel function.at n=3A000331
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=43A001276
- Number of Hamiltonian paths in P_5 X P_n.at n=4A003778
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=45A006918
- Coordination sequence T2 for Zeolite Code ATV.at n=42A008044
- Coordination sequence T5 for Zeolite Code DDR.at n=41A008075
- Coordination sequence T5 for Zeolite Code MEL.at n=42A008154
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=45A008610
- a(n) = floor(n*(n-1)*(n-2)/24).at n=48A011842
- Even square pyramidal numbers.at n=10A015222
- Nearest integer to Gamma(n + 4/11)/Gamma(4/11).at n=8A020011
- Ceiling of Gamma(n+4/11)/Gamma(4/11).at n=8A020101
- a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=8.at n=14A022407
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=22A024598
- n written in fractional base 5/4.at n=19A024634
- Weight distribution of [ 47,24,11 ] binary quadratic-residue code.at n=11A028384
- Weight distribution of [ 47,24,11 ] binary quadratic-residue code.at n=36A028384
- Weight distribution of [ 47,23,12 ] binary quadratic-residue code.at n=9A028385
- Number of unordered sets a, b, c, d of distinct integers from 1..n such that a+b+c+d = 0 (mod n).at n=48A032801