2242
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 1358
- 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
- 1044
- Möbius Function
- -1
- Radical
- 2242
- 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
- yes
- 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
- 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
- Coordination sequence T3 for Zeolite Code MFI.at n=30A008166
- Coordination sequence T1 for Zeolite Code AHT.at n=32A009866
- Coordination sequence T2 for Zeolite Code iRON.at n=33A009882
- Coordination sequence T1 for Zeolite Code RSN.at n=31A009885
- Coordination sequence T1 for Zeolite Code TER.at n=32A016433
- Coordination sequence T3 for Zeolite Code TER.at n=32A016435
- a(n+1) (n >= 1) is smallest number > a(n) which is the sum of cubes of distinct earlier terms.at n=43A019511
- Pisot sequence P(6,11), a(0)=6, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1).at n=10A021011
- a(n) = floor(binomial(2*n,n)/3^n).at n=35A024503
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=31A024823
- Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.at n=47A026930
- Coordination sequence T2 for Zeolite Code SAT.at n=34A027374
- Numbers k such that k^2 is palindromic in base 3.at n=29A029984
- 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 46.at n=9A031544
- Numbers k such that 135*2^k+1 is prime.at n=39A032417
- Numerators of continued fraction convergents to sqrt(607).at n=6A042164
- a(n)=(s(n)+6)/9, where s(n)=n-th base 9 palindrome that starts with 3.at n=26A043074
- Numbers having three 2's in base 10.at n=16A043499
- Numbers whose base-13 representation has exactly 4 runs.at n=29A043659
- Numbers n such that string 0,2 occurs in the base 8 representation of n but not of n-1.at n=38A044189