4883
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5160
- Proper Divisor Sum (Aliquot Sum)
- 277
- 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
- 4608
- Möbius Function
- 1
- Radical
- 4883
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 72
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of restricted hexagonal polyominoes with n cells.at n=8A005963
- Coordination sequence T3 for Zeolite Code AFO.at n=46A008017
- a(n) = n*(27*n + 1)/2.at n=19A022285
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=26A027917
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 69.at n=12A031567
- Numbers whose set of base-16 digits is {1,3}.at n=19A032923
- Multiplicity of highest weight (or singular) vectors associated with character chi_135 of Monster module.at n=41A034523
- Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=29A036010
- Number of partitions satisfying cn(0,5) + cn(1,5) < cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=34A039884
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=33A046015
- Semiprimes p1*p2 such that p2 mod p1 = 10, with p2 > p1.at n=28A064908
- Smallest interprimes of the form n*prime.at n=17A074870
- Interprimes which are of the form s*prime, s=19.at n=0A075294
- Diagonal of triangular spiral in A051682.at n=32A081270
- a(n) is the number of values of k such that k can be expressed as the sum of distinct primes with largest prime in the sum equal to prime(n).at n=49A082548
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=16A088728
- Numbers n such that there exists a block-transitive point-imprimitive 3-design with parameters (k(k-1)/2+1, k, lambda) for some lambda.at n=20A090043
- Numbers n such that log(n!) is closer to an integer than is log(m!) for any m with 2<m<n.at n=8A101506
- Numbers m such that the permutation of the first m natural numbers S_m(n) = if(1<=n<m-pi(m),c(n),prime(n-m-pi(m))) is a cyclic permutation where c(k) is the k-th composite number and prime(0)=1(for each natural number k, c(k)=A002808(k)).at n=24A108516
- square resultant of a complex prime genus function based on modulo 12 genus and modulo six genus functions.at n=46A116580