6090
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
- 32
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 11190
- 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
- 1344
- Möbius Function
- -1
- Radical
- 6090
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of labeled trees of diameter 4 with n nodes.at n=2A000555
- From a nim-like game.at n=32A003413
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=27A005996
- Number of strict 7th-order maximal independent sets in cycle graph.at n=57A007394
- a(n) = floor(n*(n-1)*(n-2)/4).at n=30A011886
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite GIS = Cycle class sequences of Gismondine Ca4 [ Al8Si8O32 ] . 16 H2O.at n=5A019017
- Number of monomials in expansion of determinant of an n X n Toeplitz matrix [ t(|i-j|) ] in terms of its entries.at n=9A019447
- Theta series of A*_6 lattice.at n=59A023918
- Areas of right triangles with coprime integer sides.at n=33A024365
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 2 mod 3}.at n=11A024402
- Ordered areas of primitive Pythagorean triangles.at n=35A024406
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A008288.at n=5A026934
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 26.at n=5A031704
- Triangle giving number of labeled trees with n >= 3 nodes and diameter d >= 2.at n=12A034854
- Sparsely totient numbers; numbers n such that m > n implies phi(m) > phi(n).at n=41A036913
- Products of exactly 5 distinct primes.at n=8A046387
- Triangle of numbers related to triangle A049375; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297...at n=25A049385
- Numbers that are divisible by exactly 5 different primes.at n=10A051270
- Numbers k such that phi(k) = phi(k - phi(k)).at n=31A051487
- Least k for which the integers floor(2k/(m*(m+1))) for m=1,2,...,n are distinct.at n=32A054064