6016
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 6224
- 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
- 2944
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
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
- 111
- 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
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=32A003600
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=38A005598
- Expansion of tanh(tanh(x)*tan(x))/2.at n=2A009823
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=44A020441
- Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=15A020478
- Expansion of Product_{m>=1} (1+q^m)^32.at n=3A022596
- Numbers that are the sum of 4 nonzero squares in exactly 2 ways.at n=52A025358
- Numbers k such that 117*2^k+1 is prime.at n=18A032408
- Starting from generation 6 add previous and next term yielding generation 7.at n=24A048453
- Composite numbers not ending in zero that yield a prime when turned upside down.at n=32A048889
- House numbers (version 2): a(n) = (n+1)^3 + (n+1)*Sum_{i=0..n} i.at n=15A050509
- McKay-Thompson series of class 16C for Monster.at n=15A058516
- Binomial transform, alternating in sign, of the tribonacci numbers.at n=23A073358
- Expansion of 1/(1-2*x+2*x^3).at n=21A077940
- Expansion of 1/(1-2*x+2*x^3).at n=19A077940
- Expansion of (1-x)/(1+2*x-2*x^3).at n=22A078060
- a(n) = (4*6^n + (-4)^n)/5.at n=5A083299
- a(n) = (4*(n+1)^n + (n-9)^n)/5.at n=5A083308
- a(n) = Sum_{r=0..2^(n-1)} (5^r/(2r)!)*Product_{k=0..2r-1} (2^n - k).at n=3A083696
- a(n) = 2*a(n-1) + 4*a(n-2), a(0)=1, a(1)=1.at n=8A084057