2778
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5568
- Proper Divisor Sum (Aliquot Sum)
- 2790
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 924
- Möbius Function
- -1
- Radical
- 2778
- 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
- 128
- 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 T1 for Zeolite Code AFR.at n=40A008019
- Coordination sequence T1 for Zeolite Code ANA.at n=34A008031
- a(n) = floor( binomial(n,7)/7 ).at n=17A011853
- Coordination sequence T2 for Zeolite Code CZP.at n=34A019457
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=30A023166
- Coordination sequence T4 for Zeolite Code MWW.at n=35A024989
- Coordination sequence T1 for Zeolite Code ITE.at n=36A027369
- Convolution of Thue-Morse sequence A001285 with primes.at n=31A029888
- Number of trees with n 2-colored nodes.at n=7A038056
- Numbers whose base-14 representation has exactly 4 runs.at n=18A043665
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n-1.at n=38A044275
- Numbers n such that string 7,8 occurs in the base 10 representation of n but not of n-1.at n=29A044410
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n+1.at n=38A044656
- Numbers n such that string 7,8 occurs in the base 10 representation of n but not of n+1.at n=29A044791
- Internal digits of n^2 include digits of n.at n=40A046832
- Internal digits of n^2 include digits of n, n does not end in 0.at n=28A046833
- a(n) = Sum{a(k): k=0,1,2,...,n-3,n-1}; a(n-2) is not a summand; 2 initial terms required.at n=14A049855
- Numbers m such that the Bernoulli number B_m has denominator 42.at n=40A051228
- Smallest value of x such that M(x) = -n, where M(x) is Mertens's function A002321.at n=18A051401
- Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321.at n=18A051402