4806
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 5994
- 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
- 1584
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- Erroneous version of A108919.at n=7A002792
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=26A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=25A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=28A005735
- Number of numerical semigroups of genus n; conjecturally also the number of power sum bases for symmetric functions in n variables.at n=16A007323
- Coordination sequence T2 for Zeolite Code JBW.at n=46A008122
- Coordination sequence T5 for Zeolite Code NON.at n=42A008216
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=49A011905
- a(n) = Sum(a(2i-1)*a(n-2i+1), i = 1,2,...,[ (n+2)/4 ]).at n=21A024965
- Iterate the map in A006368 starting at 8.at n=50A028393
- 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 68.at n=12A031566
- Numbers whose base-7 representation contains exactly three 0's.at n=33A043395
- Number of 321-hexagon-avoiding permutations in S_n, i.e., permutations of 1..n with no submatrix equivalent to 321, 56781234, 46781235, 56718234 or 46718235.at n=9A058094
- Numbers which are the sum of their proper divisors containing the digit 0.at n=18A059461
- a(n) = 3*(n - 2)*(5*n -11).at n=18A060785
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=43A061668
- Multiples of 9 having only even digits.at n=40A061831
- 1/2 the number of colorings of a 3 X 3 square array with n colors.at n=2A068239
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=9A085774
- Number of primes of the form 6k+5 less than 10^n.at n=4A091119