2600
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6510
- Proper Divisor Sum (Aliquot Sum)
- 3910
- 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
- 960
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 6
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=24A000292
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=24A000443
- Coefficients of Legendre polynomials.at n=3A001797
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=12A002492
- Expansion of 1/((1-x)^4*(1+x)).at n=29A002623
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=24A003452
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=23A004101
- Expansion of g.f. (1+2*x+x^2)/(1-50*x+x^2).at n=2A004296
- a(n) = binomial coefficient C(2n, n-10).at n=3A004316
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=47A005232
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=50A005563
- Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1.at n=12A006145
- Coordination sequence T1 for Zeolite Code EMT.at n=42A008086
- Coordination sequence T1 for Zeolite Code MEI.at n=37A008146
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=21A008317
- Coordination sequence for {A_4}* lattice.at n=8A008531
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=46A008804
- Coordination sequence T1 for Zeolite Code CON.at n=36A009868
- Binomial coefficient C(26,n).at n=23A010942
- Binomial coefficient C(26,n).at n=3A010942