4894
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7344
- Proper Divisor Sum (Aliquot Sum)
- 2450
- 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
- 2446
- Möbius Function
- 1
- Radical
- 4894
- 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
- 134
- 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
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=21A006004
- Number of n-dimensional space groups (including enantiomorphs).at n=4A006227
- Coordination sequence T1 for Zeolite Code MTT.at n=43A008189
- Expansion of e.g.f.: sinh(log(1+sinh(x))).at n=7A009568
- Coordination sequence T5 for Zeolite Code RUT.at n=46A009901
- Number of partitions of 2*n into at most 4 parts.at n=42A014126
- Expansion of 1/((1-x)(1-3x)(1-8x)(1-11x)).at n=3A021664
- Convolution of A000201 with itself.at n=21A023663
- a(n+1) = Sum_{k = 0..floor(2*n/3)} a(k)*a(n-k) for n >= 0 with a(0) = 1.at n=13A030033
- 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=21A031566
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=5A031820
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 3).at n=43A035534
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=47A052816
- Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^6 *product_{i=1..t} (1-x^i) ).at n=10A059823
- Solution to a binomial problem together with companion sequence A081016(n-1).at n=4A089508
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=19A092231
- Smallest number equal to the product of two primes which is also equal to the sum of n distinct primes.at n=47A102238
- Smallest semiprime equal to the sum of n distinct primes.at n=47A104646
- a(n) = a(n-1) + a(n-3) + a(n-4) for n > 3, a(0) = -1, a(1) = 1, a(2) = 2, a(3) = 1.at n=20A111569
- Expansion of q^(1/12) * eta(q^10)^5 / ( eta(q^2) * eta(q^5)^2 * eta(q^20)^2) in powers of q.at n=57A113298