11778
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 13758
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 1
- Radical
- 11778
- Omega Function (Ω)
- 4
- 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
- 99
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=50A000338
- Number of points on surface of truncated cube: a(n) = 46*n^2 + 2 for n > 0.at n=16A005911
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=35A014303
- Numbers whose set of base-14 digits is {1,4}.at n=27A032826
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).at n=40A039874
- Row 3 of array in A047666.at n=25A047667
- Numbers k such that k^128 + 1 is prime.at n=32A056994
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=35A090530
- Bond series for first parallel moment of Kagome lattice.at n=10A120546
- List of integers m>0 with m-1 and m+1 both prime, and m-2, m, m+2 all practical.at n=11A209236
- Values of n such that n^2 + (n-d)^2 is prime for a record first value of d.at n=15A239390
- Squarefree numbers n such that n^2 + 1 and n^2 - 1 are semiprime.at n=18A268697
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood.at n=25A270727
- Triples of practical numbers: numbers n such that n-2, n, n+2 are all practical numbers.at n=17A287682
- Numbers k > 0 such that either 3*k+4, k-2, k+2, n+k or 3*k+5, k-1, k+1, k+5 are all primes.at n=38A290130
- Expansion of (1/(1 - x))*Product_{k>=1} (1 - x^prime(k))/(1 - x^k).at n=43A303663
- Expansion of 1/(2 - Product_{k>=1} (1 + x^(2*k-1))).at n=18A307058
- Expansion of 1/(2 - Product_{k>=1} 1/(1 + x^k)).at n=18A307060
- Numbers k such that k and k+2 are both primitive practical numbers (A267124).at n=33A334882
- Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section w x w where the walk starts at the tube's edge.at n=36A337403