4333
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4960
- Proper Divisor Sum (Aliquot Sum)
- 627
- 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
- 3708
- Möbius Function
- 1
- Radical
- 4333
- 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
- 139
- 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 partitions of n in which no parts are multiples of 3.at n=38A000726
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=24A003294
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=12A020419
- Expansion of 1/((1-x)*(1-2*x)*(1-3*x)*(1-6*x)).at n=4A021029
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=22A022859
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=16A031802
- Numbers with digits 3 and 4 only.at n=22A032834
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=41A035552
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5)).at n=43A036809
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=8A039664
- Numbers having three 3's in base 10.at n=30A043503
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=24A051965
- Third spoke of a hexagonal spiral.at n=38A056107
- Let u be any string of n digits from {0,...,9}; let f(u) = number of distinct primes, not beginning with 0, formed by permuting the digits of u; then a(n) = max_u f(u).at n=7A065851
- Numbers that in base 2 need twelve 'Reverse and Add' steps to reach a palindrome.at n=36A066133
- Number of triangulations of the cyclic polytope C(n, n-4).at n=17A066342
- a(n) = (3*n+4)*2^(n-3)-(2*n-1).at n=8A066374
- Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=4.at n=5A068021
- Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).at n=27A069746
- Group the positive integers as (1, 2), (3, 4, 5), (6, 7, 8, 9, 10), (11, 12, 13, 14, 15, 16, 17), ... the n-th group containing prime(n) elements. Except the first, all groups contain an odd number of elements and hence have a middle term. Sequence gives the middle terms starting from group 2.at n=45A073612