11780
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 15100
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 5890
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 81
- 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
- a(n) = 2*n*(4*n + 3).at n=38A033587
- a(n) = n*(n^2 - 1)*(n+2)*(2*n^5 + 14*n^4 + 49*n^3 + 91*n^2 + 90*n + 18)/324.at n=4A064203
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=26A065255
- Row sums of A075652.at n=19A075650
- a(n) = A000108(n) + A014137(n).at n=9A081293
- Smaller of two consecutive numbers with the same prime signature not occurring earlier.at n=11A085929
- Smaller of two consecutive numbers with the same prime signature not occurring earlier.at n=12A091405
- A Chebyshev transform of Fib(n)^2.at n=14A099495
- Numbers n such that the sum of the digits of phi(n)^sigma(n) is divisible by n.at n=17A109668
- Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n.at n=22A115214
- Numbers k such that k and k+1 have 4 distinct prime factors.at n=6A140078
- 5 times heptagonal numbers: a(n) = 5*n*(5*n-3)/2.at n=31A153785
- Number of 3-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=32A187156
- a(n) = n*(15*n-11)/2.at n=40A226489
- Expansion of 1/((1-x)*(1+3*x)*(1-4*x)).at n=7A249997
- Number of length n 1..(2+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=15A255710
- Numbers n such that n and n+1 both have 24 divisors.at n=1A274362
- Numbers k such that k and k+1 each have at least 4 distinct prime factors.at n=6A321504
- Numbers k such that k and k+1 both have the prime signature (2,1,1,1) (A189982).at n=0A336658
- Positions of +4's in A346242.at n=35A354814