2230
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 1802
- 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
- 888
- Möbius Function
- -1
- Radical
- 2230
- Omega Function (Ω)
- 3
- 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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of zeros in character table of symmetric group S_n.at n=11A006907
- Coordination sequence T2 for Zeolite Code BRE.at n=31A008059
- Coordination sequence T2 for Zeolite Code LEV.at n=35A008128
- Coordination sequence T7 for Zeolite Code VNI.at n=29A009913
- Place where n-th 1 occurs in A023125.at n=24A022787
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,1.at n=9A022854
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=38A023170
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number) and d(n) = (n-th non-Fibonacci number).at n=15A023484
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=15A026043
- a(n) = Sum_{k=0..n} (k+1) * A026615(n,k).at n=8A026960
- Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=44A030181
- Positions of record values in A030747.at n=43A030752
- Concatenation of n and n + 8 or {n,n+8}.at n=21A032613
- Coordination sequence T2 for Zeolite Code CFI.at n=31A033600
- Coordination sequence T4 for Zeolite Code SBE.at n=38A033607
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).at n=21A035301
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 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=38A036031
- a(n) = (s(n)+1)/7, where s(n) = n-th base 7 palindrome that starts with 6.at n=40A043064
- Numbers whose base-13 representation has exactly 4 runs.at n=18A043659
- Numbers k such that string 6,6 occurs in the base 8 representation of k but not of k-1.at n=34A044241