2774
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4440
- Proper Divisor Sum (Aliquot Sum)
- 1666
- 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
- 1296
- Möbius Function
- -1
- Radical
- 2774
- 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
- 66
- 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
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=35A001276
- Coordination sequence T1 for Zeolite Code DAC.at n=33A008067
- Coordination sequence T4 for Zeolite Code TON.at n=33A008244
- Molien series for Weyl group E_8.at n=57A008582
- If x and y are terms, so is x*y + 9.at n=21A009350
- a(n) = n*(2*n-3).at n=38A014107
- 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 52.at n=3A031550
- "BFJ" (reversible, size, labeled) transform of 2,2,2,2...at n=7A032038
- Number of winning length n strings with a 2-symbol alphabet in "same game".at n=12A035615
- Base-6 palindromes that start with 2.at n=19A043011
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n-1.at n=34A044271
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n-1.at n=30A044406
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n+1.at n=34A044652
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n+1.at n=30A044787
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=14A044885
- Numbers whose base-5 representation contains exactly one 0 and three 4's.at n=27A045209
- Numbers whose base-5 representation contains exactly one 2 and three 4's.at n=30A045284
- a(n)=T(n,n+1), array T as in A049723.at n=29A049729
- a(n) = 11*2^n - 4*n - 10.at n=8A051669
- Number of positive integers <= 2^n of form x^2 + 11 y^2.at n=14A054226