4773
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
- 6688
- Proper Divisor Sum (Aliquot Sum)
- 1915
- 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
- 3024
- Möbius Function
- -1
- Radical
- 4773
- 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
- 103
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T11 for Zeolite Code MFI.at n=44A008163
- Coordination sequence T2 for Zeolite Code STI.at n=47A008235
- Initial pile sizes which guarantee a win for player 2 in a certain variant of Nim.at n=36A016741
- a(n) = n*(7*n - 1)/2.at n=37A022264
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=37A031504
- 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 46.at n=16A031544
- Numbers whose set of base-13 digits is {2,3}.at n=16A032813
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=9A035141
- Numbers whose base-2 representation has exactly 11 runs.at n=15A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=16A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=27A043764
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=29A045103
- Sum of the first n palindromes (A002113).at n=38A046489
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 2.at n=43A051967
- Number of positive integers <= 2^n of form 3 x^2 + 9 y^2.at n=16A054166
- Number of hexagonal regions in regular n-gon with all diagonals drawn.at n=31A067153
- Number of primes less than 10^n which do not contain the digit 7.at n=4A091641
- Partial sums of Chen primes (starting with 1).at n=43A118482
- a(n) = c is least number such that 10^n/2 -/+ c are primes.at n=33A124049
- Numbers k such that 12^k + 7 is prime.at n=15A137653