2700
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 8680
- Proper Divisor Sum (Aliquot Sum)
- 5980
- 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
- 720
- Möbius Function
- 0
- Radical
- 30
- 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
- 115
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=1..n-1} k^3*sigma(k)*sigma(n-k).at n=5A000499
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=33A002134
- Squares written in base 9.at n=44A002442
- Number of solutions to a linear inequality.at n=46A002797
- Numbers that are the sum of 12 positive 6th powers.at n=44A003368
- Numbers that are the sum of 6 positive 7th powers.at n=11A003373
- Numbers that are the sum of at most 6 positive 7th powers.at n=47A004868
- Theta series of {E_6}* lattice.at n=14A005129
- Number of walks on square lattice. Column y=4 of A052174.at n=5A005562
- a(n) = n!*(n-1)!/2^(n-1).at n=5A006472
- Some permutation of digits is a factorial number.at n=36A007926
- Some nontrivial permutation of digits is a factorial number.at n=30A007927
- Coordination sequence T1 for Zeolite Code MON.at n=32A008181
- Coordination sequence T3 for Zeolite Code MTW.at n=34A008198
- Triangle of coefficients from fractional iteration of e^x - 1.at n=14A008826
- Coordination sequence T2 for Zeolite Code RTH.at n=36A009894
- Expansion of Product_{k>=1} (1 - x^k)^9.at n=24A010817
- a(n) = n*(2*n + 3).at n=36A014106
- Number of partitions of 2*n into at most 4 parts.at n=34A014126
- Product of digits of 2^n.at n=16A014257