2770
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5004
- Proper Divisor Sum (Aliquot Sum)
- 2234
- 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
- 1104
- Möbius Function
- -1
- Radical
- 2770
- 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
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=39A000232
- Number of alternating permutations of order n.at n=8A001250
- Number of permutations of length n by rises.at n=2A001282
- Number of rooted identity trees with n nodes (rooted trees whose automorphism group is the identity group).at n=14A004111
- Coordination sequence T2 for Zeolite Code ATS.at n=38A008039
- Coordination sequence T3 for Zeolite Code ATS.at n=38A008040
- Coordination sequence T3 for Zeolite Code NON.at n=32A008214
- Boustrophedon version of triangle of Euler-Bernoulli or Entringer numbers read by rows.at n=47A008280
- Triangle of Euler-Bernoulli or Entringer numbers read by rows.at n=47A008281
- Triangle of Euler-Bernoulli or Entringer numbers read by rows: T(n,k) is the number of down-up permutations of n+1 starting with k+1.at n=37A008282
- Read across rows of Euler-Bernoulli or Entringer triangle.at n=22A008283
- Coordination sequence T7 for Zeolite Code CON.at n=37A009874
- Triangle read by rows: number of permutations of 1..n by length of longest run.at n=27A010026
- Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2).at n=20A010030
- Triangle of Euler-Bernoulli or Entringer numbers.at n=43A010094
- Twice A000364.at n=4A011248
- Expansion of 1/((1-x)*(1-7x)*(1-10x)).at n=3A016252
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=17A020356
- Fibonacci sequence beginning 2, 18.at n=12A022371
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=44A023170