2736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 8060
- Proper Divisor Sum (Aliquot Sum)
- 5324
- 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
- 864
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 3 nonnegative cubes in more than 1 way.at n=28A001239
- Coefficients of Jacobi cusp form of index 1 and weight 10.at n=23A003784
- a(n) = floor(Fibonacci(n)/4).at n=21A004697
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=36A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=36A004944
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=15A005564
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=16A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=30A005993
- Numbers that are the sum of 3 positive cubes in more than one way.at n=20A008917
- Coordination sequence T3 for Zeolite Code -PAR.at n=37A009857
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=40A013583
- a(n) = (2*n - 5)n^2.at n=12A015240
- Fibonacci sequence beginning 0, 19.at n=12A022353
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=12A024974
- Number of partitions of n into distinct parts >= 4.at n=64A025149
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=20A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=12A025400
- a(n) = n*(n + 9).at n=48A028569
- Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^3.at n=37A028588
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=19A029720