2726
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 1594
- 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
- 1288
- Möbius Function
- -1
- Radical
- 2726
- 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
- First time that the Grundy function G(x) for "subtract-a-Fibonacci-number" takes the value n.at n=12A019307
- Number of 3's in n-th term of A022470.at n=33A022474
- Numbers k such that Fibonacci(k) == 55 (mod k).at n=40A023181
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=25A024860
- Cube root of A030690.at n=44A030691
- Number of partitions satisfying cn(2,5) <= cn(1,5) + cn(4,5) and cn(3,5) <= cn(1,5) + cn(4,5).at n=27A039891
- Denominators of continued fraction convergents to sqrt(935).at n=8A042809
- Numbers whose base-2 representation has exactly 10 runs.at n=34A043577
- Numbers n such that number of runs in the base 2 representation of n is congruent to 0 mod 10.at n=34A043763
- Numbers n such that string 5,8 occurs in the base 9 representation of n but not of n-1.at n=37A044304
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n-1.at n=30A044358
- Numbers n such that string 5,8 occurs in the base 9 representation of n but not of n+1.at n=37A044685
- Numbers n such that string 6,5 occurs in the base 9 representation of n but not of n+1.at n=36A044691
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n+1.at n=30A044739
- A B2-sequence due to Rachel Lewis.at n=40A046185
- Number of asymmetric (identity) trees with n nodes and 5 leaves.at n=10A055336
- Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.at n=8A055536
- Numbers n such that x^n + x + 2 is irreducible over GF(3).at n=12A058059
- Numbers n such that phi(2n+1) = sigma(n).at n=23A067229
- Numbers k that divide the alternating sum phi(1) - phi(2) + phi(3) - phi(4) + ... + ((-1)^(k+1))*phi(k).at n=14A067929