2088
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 5850
- Proper Divisor Sum (Aliquot Sum)
- 3762
- 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
- 672
- Möbius Function
- 0
- Radical
- 174
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=53A001996
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=45A003219
- a(n) = n*(5*n - 1)/2.at n=29A005476
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=108A006509
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=31A007258
- Coordination sequence T2 for Zeolite Code AFO.at n=30A008016
- Coordination sequence T5 for Zeolite Code MFI.at n=29A008168
- Aliquot sequence starting at 138.at n=7A008888
- Aliquot sequence starting at 150.at n=6A008889
- Aliquot sequence starting at 168.at n=4A008890
- Coordination sequence T1 for Zeolite Code -WEN.at n=33A009862
- Coordination sequence T5 for Zeolite Code RUT.at n=30A009901
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=34A015617
- Numbers k such that phi(k) | sigma(k + 5).at n=53A015843
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=19A020441
- Sum of n plus its prime factors associated with A020700.at n=13A020905
- Least k such that b(k) = n, where b( ) is sequence A020944.at n=50A020948
- a(n) = Sum_{k=0..floor(n/2)} T(n-k, k), T given by A026692.at n=15A026702
- "DIK" (bracelet, indistinct, unlabeled) transform of 1,2,3,4,...at n=10A032287
- Records for sum of proper divisors function A001065.at n=37A034091