4638
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9288
- Proper Divisor Sum (Aliquot Sum)
- 4650
- 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
- 1544
- Möbius Function
- -1
- Radical
- 4638
- Omega Function (Ω)
- 3
- 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
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=27A003379
- Number of factorization patterns of polynomials of degree n over F_4.at n=17A006169
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=29A007332
- Coordination sequence T2 for Zeolite Code AHT.at n=46A009867
- Numbers having period-2 6-digitized sequences.at n=8A031357
- Coordination sequence T7 for Zeolite Code SFF.at n=45A038431
- Number of 2n-bead black-white complementable necklaces with n black beads and fundamental period 2n.at n=10A045632
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=14A049900
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=28A051989
- Coefficients of the '6th-order' mock theta function sigma(q).at n=46A053271
- Coordination sequence T4 for Zeolite Code SFE.at n=45A057320
- Squarefree numbers sandwiched between a pair of twin primes.at n=36A070195
- Interprimes which are of the form s*prime, s=6.at n=38A075281
- Indices of spheres mentioned in A071609.at n=41A076180
- Operation count to create all permutations of n distinct elements using the "streamlined" version of Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2. Sequence gives number of times the search for an element exchangeable with a_j has to be started.at n=5A079752
- Main diagonal of array A082224.at n=34A082227
- Number of n-crossing 3 component links with alternating braids of 3 strands.at n=16A094032
- a(n) = digit reversal of A103741(n).at n=35A103763
- Expansion of ((b(q)*c(q))^3 - 8*(b(q^2)*c(q^2))^3) / 27 in powers of q where b(), c() are cubic AGM theta functions.at n=28A128486
- Admirable numbers in the middle of twin primes.at n=21A135502