4834
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7254
- Proper Divisor Sum (Aliquot Sum)
- 2420
- 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
- 2416
- Möbius Function
- 1
- Radical
- 4834
- 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
- 20
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T2 for Zeolite Code NON.at n=42A008213
- Coordination sequence for FeS2-Marcasite, S position.at n=34A009954
- Incorrect version of A035010.at n=7A019275
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=21A019459
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=21A020403
- a(n) = A026626(2*n, n).at n=7A026627
- a(n) = A026626(n, floor(n/2)).at n=14A026632
- 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=15A031566
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=35A031798
- Numbers k such that 253*2^k+1 is prime.at n=31A032503
- Number of prime binary rooted trees with n external nodes.at n=8A035010
- Positive numbers having the same set of digits in base 5 and base 8.at n=35A037431
- Positive numbers having the same set of digits in base 6 and base 8.at n=30A037435
- Numbers k such that 40*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=8A056681
- Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees).at n=23A057546
- Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing).at n=28A059618
- Partial sums of A068058 + 1.at n=29A068059
- a(n) = A077696(n+1)/A077696(n).at n=14A077697
- Antidiagonal sums of square array A082011 divided by the number of the antidiagonal.at n=35A082015
- Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.at n=39A091434