2844
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7280
- Proper Divisor Sum (Aliquot Sum)
- 4436
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 936
- Möbius Function
- 0
- Radical
- 474
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Representation degeneracies for Ramond strings.at n=12A005306
- Coordination sequence T1 for Zeolite Code AFG.at n=37A008012
- Coordination sequence T9 for Zeolite Code EUO.at n=33A008104
- Coordination sequence T3 for Zeolite Code HEU.at n=35A008118
- Coordination sequence T1 for Zeolite Code LOS.at n=37A008132
- Coordination sequence T3 for Zeolite Code MTW.at n=35A008198
- a(n) = n + max_{0 <= i <n} ((n-i)*a(i)), a(0) = 1.at n=18A008609
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=19A014302
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=22A026044
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^3.at n=44A028643
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.at n=44A028700
- Least term in period of continued fraction for sqrt(n) is 3.at n=42A031427
- 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 26.at n=33A031524
- Positive numbers having the same set of digits in base 6 and base 7.at n=29A033170
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) < cn(2,5) = cn(4,5).at n=68A036867
- Shifts left under transform T where Ta is a DCONV a.at n=12A038044
- Numbers k such that string 1,0 occurs in the base 9 representation of k but not of k-1.at n=34A044260
- Numbers n such that string 8,1 occurs in the base 9 representation of n but not of n-1.at n=38A044324
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n-1.at n=28A044376
- Numbers k such that string 1,0 occurs in the base 9 representation of k but not of k+1.at n=34A044641