2706
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 3342
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 800
- Möbius Function
- 1
- Radical
- 2706
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 40
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=17A003379
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=22A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=22A004965
- a(n) = n*(5*n - 1)/2.at n=33A005476
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=26A005899
- Maximal length of rook tour on an n X n board.at n=15A006071
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=36A008013
- Coordination sequence T3 for Zeolite Code BOG.at n=37A008051
- Coordination sequence T2 for Zeolite Code LAU.at n=37A008125
- Coordination sequence T4 for Zeolite Code RTH.at n=36A009896
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=13A010006
- a(n) = floor(n*(n-1)*(n-2)/9).at n=30A011891
- Coordination sequence T7 for Zeolite Code TER.at n=35A016439
- Pseudoprimes to base 37.at n=42A020165
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=32A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=32A020337
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 10.at n=13A022315
- 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=0A031550
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 52.at n=1A031730
- Numbers in which all pairs of consecutive base-9 digits differ by 3.at n=42A033080