6078
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12168
- Proper Divisor Sum (Aliquot Sum)
- 6090
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2024
- Möbius Function
- -1
- Radical
- 6078
- 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
- 155
- 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
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=14A010020
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=6A025513
- The number of partitions of {1..5n} that are invariant under a permutation consisting of n 5-cycles.at n=5A036075
- Numbers which are the sum of their proper divisors containing the digit 0.at n=26A059461
- Coordination sequence for ReO_3 net with respect to Re atom.at n=45A066714
- Numbers k such that for any positive integers (a, b), if a * b = k then a + b is prime.at n=59A080715
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=2A084804
- Number of regions that the line segments in A091908(n) cut the equilateral triangle into.at n=45A092098
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 11 for n > 0.at n=13A101078
- Numbers k such that the number of prime divisors of the k-th Catalan number (counted with multiplicity) divides k.at n=25A121612
- Numbers n with property that A100486(n) is square.at n=43A156913
- a(n) = 169*n^2 - n.at n=5A157998
- a(n) = 676*n^2 - 2*n.at n=2A158392
- a(n) = 36*n^2 - 6.at n=12A158462
- Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles.at n=50A162663
- Number of partitions of n having no more odd than even parts.at n=36A171966
- Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=11A187587
- Position of 5^n in A051037 (5-smooth numbers).at n=21A188427
- Diagonal sums of triangle A191490.at n=11A191491
- a(n) = Sum_{k=0..n} binomial(n,k)*w(k)*w(n-k) where w() = A000296().at n=8A194689