6400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 15841
- Proper Divisor Sum (Aliquot Sum)
- 9441
- 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
- 2560
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 10
- Little Omega Function (ω)
- 2
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
- 31
- 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
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=48A000549
- Numbers of the form 2^i*5^j with i, j >= 0.at n=44A003592
- Theta series of laminated lattice LAMBDA_13^{mid}.at n=3A006916
- a(n) = Product_{j=0..5} floor((n+j)/6).at n=26A008881
- E.g.f.: exp(tan(arcsinh(x))).at n=9A012159
- sinh(tan(arcsinh(x))) = x+2/3!*x^3+16/5!*x^5+216/7!*x^7+6400/9!*x^9...at n=4A012164
- Triangle of coefficients in expansion of (4 + 5*x)^n.at n=16A013628
- a(n) = (2*n - 7)*n^2.at n=16A015242
- Even squares: a(n) = (2*n)^2.at n=40A016742
- a(n) = (3n+2)^2.at n=27A016790
- a(n) = (4*n)^2.at n=20A016802
- a(n) = (5*n)^2.at n=16A016850
- a(n) = (6*n + 2)^2.at n=13A016934
- a(n) = (7*n + 3)^2.at n=11A017018
- a(n) = (8*n)^2.at n=10A017066
- a(n) = (9*n + 8)^2.at n=8A017258
- a(n) = (10*n)^2.at n=8A017270
- a(n) = (11*n + 3)^2.at n=7A017426
- a(n) = (12*n + 8)^2.at n=6A017618
- Denominator of sum of -3rd powers of divisors of n.at n=39A017670