6153
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9408
- Proper Divisor Sum (Aliquot Sum)
- 3255
- 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
- 3504
- Möbius Function
- -1
- Radical
- 6153
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n that do not contain 1 as a part.at n=40A002865
- Numbers that are the sum of 12 positive 11th powers.at n=3A004823
- a(n) = n*(7*n - 1)/2.at n=42A022264
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=32A024596
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=44A046254
- a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=36A046259
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-1)/2.at n=15A047172
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-2)/2.at n=15A047183
- Trajectory of 19 under the `19x+1' map.at n=16A057685
- Surround numbers of an n X 2 rectangle when n is odd.at n=5A061525
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=18A075893
- Number of partitions of n including 3, but not 1.at n=42A085811
- Number of partitions of n into parts not less than the smallest prime factor of n.at n=39A097360
- a(n) = a(n-1) - 2*a(n-2) - 3*a(n-3) - ... - (n-1)*a(1), a(1) = a(2) = 3, a(3) = -3.at n=13A106542
- G.f.: x*(1 - 2*x^2)/(1 - x - 3*x^2 - 3*x^3 - x^4).at n=11A114723
- Numbers k such that k concatenated with k+7 gives the product of two numbers which differ by 9.at n=2A116211
- Take an n X n square grid of points in the plane; a(n) = number of non-isomorphic ways to divide the points into two sets using a straight line.at n=19A116696
- Number of partitions of n with unique smallest part and unique largest part.at n=39A117298
- Irregular array where the n-th row are the divisors, not occurring earlier in the sequence, of the sum of the terms in all previous rows. a(1)=4.at n=36A120578
- A106486-encodings of combinatorial games equivalent to game {0|1}.at n=24A125997