2835
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
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 5808
- Proper Divisor Sum (Aliquot Sum)
- 2973
- 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
- 1296
- Möbius Function
- 0
- Radical
- 105
- Omega Function (Ω)
- 6
- 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
- 79
- 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
- no
- Odd
- yes
Appears in sequences
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=27A001107
- MacMahon's generalized sum of divisors function.at n=26A002127
- MacMahon's generalized sum of divisors function.at n=14A002128
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=13A002414
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=3A005231
- Coefficient of x^4 in expansion of (1+x+x^2)^n.at n=13A005712
- Coordination sequence T2 for Zeolite Code VFI.at n=41A008246
- Triangle of coefficients in expansion of (1+3*x)^n.at n=32A013610
- Triangle of coefficients in expansion of (3+7x)^n.at n=16A013624
- Number of segments (and sides) created by diagonals of an n-gon in general position.at n=12A014628
- a(n) = n*(29*n - 1)/2.at n=14A022286
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence).at n=18A025085
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=22A026064
- Cube of lower triangular normalized binomial matrix.at n=31A027465
- a(n) = Product_{i=1..n} (4^i - 1).at n=3A027637
- Number of subgroups of index n of fundamental group of the non-orientable cycle bundle over the Klein bottle.at n=55A027844
- Distinct odd elements in 3-Pascal triangle A028262 (by row).at n=34A028268
- Odd elements (greater than 1) to right of central elements in 3-Pascal triangle A028262.at n=35A028274
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=17A028687
- Sorted factorial and k-factorial numbers (numbers of form k-1 excluded).at n=22A028688