6900
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 13932
- 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
- 1760
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 6
- 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
- 44
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=38A000338
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=24A014203
- Number of solutions to c(1)*prime(2) + ... + c(n)*prime(n+1) = 2, where c(i) = +-1 for i > 1, c(1) = 1.at n=21A022899
- Perimeters of more than one primitive Pythagorean triangle.at n=8A024408
- a(n) = n*(n+1)*(n+2)/2.at n=23A027480
- a(n) = n*(2*n-1)*(2*n+1).at n=12A035328
- Expansion of (3+2*x^2)/(1-x)^4.at n=19A037236
- Nonnegative numbers of form n*(n^2+-1)/2.at n=46A057587
- Numbers k such that sigma(phi(k)) = phi(sigma(k)-k).at n=5A058653
- a(n) = 3*n^2 + 12*n.at n=45A067707
- Trajectory of 38 under map x -> A002487(x)*A002487(x+1).at n=11A071885
- Like A073327, but multiply the numerical values of the letters instead of adding them.at n=2A075831
- Positions of A080313 in A014486.at n=16A080312
- Repeatedly convert from sexagesimal to centesimal, starting with 60.at n=10A097714
- Diagonal sums of a Krawtchouk triangle.at n=17A099038
- Numbers that have exactly six prime factors counted with multiplicity (A046306) whose digit reversal is different and also has 6 prime factors (with multiplicity).at n=12A109026
- McKay-Thompson series of class 40B for the Monster group.at n=43A112179
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=27A115908
- a(n) = 2 + floor((1 + Sum_{j=1..n-1} a(j))/5).at n=45A120171
- Number of permutations of n distinct letters (ABCD...) each of which appears 5 times and having n-2 fixed points.at n=23A123296