8100
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
- 45
- Divisor Sum
- 26257
- Proper Divisor Sum (Aliquot Sum)
- 18157
- 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
- 2160
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- 158
- 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
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2^n - 1 - n*(n+1)/2.at n=13A002662
- Sum of 10 nonzero 8th powers.at n=17A003388
- Number of n-gons in cubic curve.at n=5A005782
- Complexity of doubled cycle (regarding case n = 2 as a multigraph).at n=5A006235
- a(n) = n^2*(5*n-3)/2.at n=15A006597
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=38A008233
- Theta series of A_5 lattice.at n=41A008445
- a(n) = Sum_{k=0..10} binomial(n,k).at n=13A008863
- Theta series of lattice Kappa_11.at n=4A015229
- a(n) = (2*n - 11)*n^2.at n=18A015245
- Even squares: a(n) = (2*n)^2.at n=45A016742
- a(n) = (3*n)^2.at n=30A016766
- a(n) = (4n + 2)^2.at n=22A016826
- a(n) = (5*n)^2.at n=18A016850
- a(n) = (6*n)^2.at n=15A016910
- a(n) = (7*n + 6)^2.at n=12A017054
- a(n) = (8*n + 2)^2.at n=11A017090
- a(n) = (9*n)^2.at n=10A017162
- a(n) = (10*n)^2.at n=9A017270
- a(n) = (11*n + 2)^2.at n=8A017414