6206
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 3514
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2968
- Möbius Function
- -1
- Radical
- 6206
- Omega Function (Ω)
- 3
- 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
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 93
- 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
- Numerators of convergents to cube root of 3.at n=9A002354
- Site percolation series for directed cubic lattice.at n=14A006837
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFG = Afghanite (Na2,Ca,K2)12[Al24Si24O96] starting with a T1 atom.at n=5A018952
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=34A048241
- a(n) = A048141(3*n).at n=45A051061
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=22A084804
- a(n) = floor(((1+sqrt(3))/2)^n).at n=27A125895
- Number of rooted gene trees with n leaves on the label set [3].at n=5A220823
- Number of partitions of n for which (number of occurrences of the least part) > (number of occurrences of greatest part).at n=31A236544
- Least number k >= 0 such that (n!+k)/n is prime.at n=57A245695
- Bernoulli number B_{n} has denominator 354.at n=16A255684
- 4-untouchable numbers.at n=28A284156
- p-INVERT of (1,2,3,5,7,11,13,...); i.e., 1 and the primes (A008578), where p(S) = 1 - S - S^2.at n=7A289928
- p-INVERT of (1,0,0,1,0,0,0,0,0,...), where p(S) = (1 - S)^2.at n=20A292324
- Number of pairs (p,q) of partitions such that q is a partition of n and p <= q (diagram containment).at n=13A297388
- Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=3A302959
- Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=3A302961
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=24A302965
- Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=3A302967
- a(n) = 12*2^n + 62.at n=9A305265