4929
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 1983
- 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
- 3120
- Möbius Function
- -1
- Radical
- 4929
- 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
- 41
- 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
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=28A005286
- Coordination sequence T1 for Zeolite Code CAS.at n=43A008063
- Lucky numbers with smallest increasing gaps (upper terms).at n=17A031885
- Numbers whose set of base-13 digits is {2,3}.at n=18A032813
- Concatenations C1 and C2 and C3 are all prime (see the comment lines).at n=1A034818
- Denominators of continued fraction convergents to sqrt(705).at n=8A042357
- Numbers having three 6's in base 9.at n=26A043479
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=34A049519
- Starting positions of strings of 2 3's in the decimal expansion of Pi.at n=38A050222
- Numbers k such that the largest prime factor of k is equal to the sum of primes dividing k+1 (with repetition).at n=8A071861
- Number of permutations p of (1,2,3,...,n) such that at least one value of abs(k-p(k)) is prime.at n=6A072950
- Triangular array read by rows: a(n, k) is the number of ordered m-tuples of positive integers (x_1, ..., x_m) such that max x_i = n+1-m and there are k ones (0 <= k <= n).at n=58A089246
- Integers that do not appear in A103502.at n=2A103504
- Numbers which are the sum of three positive cubes and divisible by 31.at n=26A104054
- Number of compositions of {1,..,n} such that no two adjacent parts are of equal size (labeled Carlitz compositions).at n=7A114902
- a(0)=1, a(1)=1, a(n) = 17*a(n/2) for n=2,4,6,..., a(n) = 16*a((n-1)/2) + a((n+1)/2) for n=3,5,7,....at n=9A116523
- Matrix cube of triangle A121412.at n=40A121420
- Numbers k such that p(k+1)# - p(k)# - 1 is prime where p(i)# = product of first i primes = A002110(i).at n=14A128657
- a(n) = 10*binomial(n,2) + 9*n.at n=31A135705
- n-th term of the Fibonacci-type sequence x(1)=1, x(2)=Fibonacci(n), x(k+1)=x(k)+x(k-1) for k>1.at n=10A142975