2777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2778
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2776
- Möbius Function
- -1
- Radical
- 2777
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 404
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of non-cyclic hydrocarbons with n carbon atoms (excluding stereoisomers).at n=8A002986
- Numbers that are the sum of 5 positive 5th powers.at n=45A003350
- Primes of the form 2^a + 3^b.at n=39A004051
- Coordination sequence T1 for Zeolite Code DDR.at n=33A008071
- Coordination sequence T3 for Zeolite Code -WEN.at n=38A009864
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=24A010338
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=30A019546
- Primes that contain digits 2 and 7 only.at n=5A020459
- An upper bound for linearized chord diagrams.at n=8A022490
- Primes that remain prime through 2 iterations of function f(x) = 2x + 3.at n=42A023242
- Discriminants of totally real quartic fields.at n=10A023680
- a(n) is the position of cube of the n-th prime among the powers of primes (A000961).at n=9A024625
- Positions of cubes among the powers of primes (A000961).at n=16A024627
- Coordination sequence T3 for Zeolite Code IFR.at n=37A024984
- Primes p such that digits of p appear in p^2 and p^3.at n=20A030085
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=38A031416
- a(n) = prime(10*n - 6).at n=40A031914
- Upper prime of a difference of 10 between consecutive primes.at n=38A031929
- Lower prime of a difference of 12 between consecutive primes.at n=26A031930
- Primes of form x^2 + 94*y^2.at n=20A033204