6300
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
- 54
- Divisor Sum
- 22568
- Proper Divisor Sum (Aliquot Sum)
- 16268
- 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
- 1440
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 62
- 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
- Apéry numbers: a(n) = n^2*C(2n,n).at n=5A002736
- Smallest number with 2n divisors.at n=26A003680
- The minimal numbers: sequence A005179 arranged in increasing order.at n=33A007416
- E.g.f.: -arcsin(log(x+1)-arctanh(x)) (even powers only).at n=4A013295
- -sinh(log(x+1)-arctanh(x)) = 1/2!*x^2 + 6/4!*x^4 + 135/6!*x^6 + 6300/8!*x^8 + ...at n=3A013299
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LIO = Liottite (Ca,Na2,K2)9[Al18Si18O72] starting with a T2 atom.at n=5A019028
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite OFF = Offretite (Ca,Mg)1.5K[Al4Si14O36].14H2O starting from a T2 atom.at n=5A019043
- n written in fractional base 9/6.at n=27A024654
- Triangle whose (n,k)-th entry is 15^(n-k)*binomial(n,k).at n=42A027467
- a(n) = 225*(n-1)*(n-2)/2.at n=6A027470
- Value of 3^x - 2^x - 5 for the solutions of 3^x - 2^x == 5 (mod 7).at n=2A030531
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=14A031174
- a(n) = 7*n^2.at n=30A033582
- Decimal part of n-th root of a(n) starts with digit 4.at n=24A034081
- Number of possible rook moves on an n X n chessboard.at n=14A035006
- Least integer of each prime signature, in graded (reflected or not) colexicographic order of exponents.at n=40A036035
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=28A037183
- Least number with exactly n divisors that are at most its square root.at n=26A038549
- Numbers having four 0's in base 5.at n=33A043352
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x9^2 = n.at n=19A045851