4730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9504
- Proper Divisor Sum (Aliquot Sum)
- 4774
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1680
- Möbius Function
- 1
- Radical
- 4730
- Omega Function (Ω)
- 4
- 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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Representation degeneracies for boson strings.at n=31A005291
- Primitive pseudoperfect numbers.at n=67A006036
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=46A007209
- If a, b in sequence, so is ab+6.at n=42A009307
- a(n) = floor(binomial(n,3)/3).at n=45A011849
- Number of multigraphs with 5 nodes and n edges.at n=13A014395
- Expansion of 1/((1-2x)(1-9x)(1-11x)).at n=3A016322
- Convolution of A023532 and Fibonacci numbers.at n=17A023596
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 5. Also a(n) = T(n,n-3), where T is the array in A026323.at n=7A026328
- 5 times triangular numbers: a(n) = 5*n*(n+1)/2.at n=43A028895
- Positions of incrementally largest terms in continued fraction for Copeland-Erdős constant.at n=11A033311
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=55A035582
- Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=33A035954
- Denominators of continued fraction convergents to sqrt(382).at n=9A041725
- All differences C(j)-C(i), j>i, of Catalan numbers A000108.at n=31A047075
- Number of reversible string structures with n beads using exactly three different colors.at n=9A056327
- If n-th triangular number (A000217(n)) is odd, multiply it by 4; if even, multiply it by 5.at n=42A061726
- Numbers k such that sigma(k+1) = 4*phi(k).at n=43A067262
- Squarefree numbers having exactly three prime gaps.at n=14A073489
- Numbers having exactly three prime gaps in their factorization.at n=16A073495