2248
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4230
- Proper Divisor Sum (Aliquot Sum)
- 1982
- 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
- 1120
- Möbius Function
- 0
- Radical
- 562
- Omega Function (Ω)
- 4
- 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
- 45
- 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
- Generalized Euler numbers of type 3^2n.at n=2A005800
- Numbers n such that n! has a square number of digits.at n=38A006488
- Coordination sequence T1 for Zeolite Code ATT.at n=34A008041
- Coordination sequence T2 for Zeolite Code ATT.at n=34A008042
- Coordination sequence T1 for Zeolite Code GIS.at n=35A008266
- Number of 3 X 3 symmetric stochastic matrices under row and column permutations.at n=51A008764
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (1, p(1), p(2), ...).at n=16A024460
- Numbers that are the sum of 4 distinct nonzero squares in exactly 10 ways.at n=50A025385
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=30A027425
- Numbers k such that k^2 + 1 is a palindrome.at n=9A027719
- Numbers having period-6 5-digitized sequences.at n=16A031190
- "CFK" (necklace, size, unlabeled) transform of 1,3,5,7...at n=11A032142
- Number of inequivalent binary [ n,3 ] codes of dimension <= 3 without zero columns.at n=20A034337
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+9 or 24k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=37A036033
- a(n)=number of Gaussian integers z=a+bi satisfying |z|<=n+1/2, b>=0.at n=37A036707
- Numbers whose base-13 representation has exactly 4 runs.at n=35A043659
- Numbers n such that string 1,0 occurs in the base 8 representation of n but not of n-1.at n=34A044195
- Numbers n such that string 3,1 occurs in the base 8 representation of n but not of n-1.at n=39A044212
- Numbers n such that string 6,7 occurs in the base 9 representation of n but not of n-1.at n=30A044312
- Numbers n such that string 4,8 occurs in the base 10 representation of n but not of n-1.at n=24A044380