12080
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 28272
- Proper Divisor Sum (Aliquot Sum)
- 16192
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 1510
- Omega Function (Ω)
- 6
- 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
- 68
- 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
- Binomial transform of Thue-Morse sequence A001285.at n=13A029879
- a(n) = A000010(n) * A002088(n).at n=43A143231
- P_n(2) (see A155100).at n=6A156073
- a(n) = 121*n^2 - 2*n.at n=9A157040
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and no two neighbors equal.at n=12A199706
- Smallest k such that the number k^n in its decimal representation has a prime number of copies of the digit d for each d from 0 through 9.at n=18A217051
- Positions of 3's in A234323.at n=15A234804
- a(n) = floor(6^n/(2+sqrt(5))^n).at n=27A240734
- Number of partitions of n such that the number of parts is a part and the number of distinct parts is not a part.at n=48A241379
- Number of (n+2) X (2+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1.at n=18A257441
- Numbers k such that k^4096 + (k+1)^4096 is prime.at n=5A274236
- Expansion of Sum_{k>=1} prime(k)*x^prime(k)/(1 - x^prime(k)) * Product_{k>=1} 1/(1 - x^prime(k)).at n=39A276560
- Number of partitions of 2*n into exactly n prime powers (including 1).at n=41A341154