12766
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20664
- Proper Divisor Sum (Aliquot Sum)
- 7898
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5880
- Möbius Function
- -1
- Radical
- 12766
- 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
- 200
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T3 atom.at n=13A019147
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=38A020433
- a(n) = n*(n^2 + 12*n - 25)/6.at n=39A026057
- Numbers k such that k^128 + 1 is prime.at n=34A056994
- Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.at n=41A101475
- The number of trisubstitution products with composition C_n H_(2n-1) X_2 Y.at n=18A159940
- a(n) = prime(n)^2-3.at n=29A182200
- Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i) equal to n*6.at n=10A184706
- Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..2 introduced in row major order.at n=5A210100
- Number of (n+1)X7 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order.at n=0A210105
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order.at n=15A210107
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order.at n=20A210107
- Number of nonnegative integer arrays of length n+7 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value 7.at n=3A211834
- T(n,k)=Number of nonnegative integer arrays of length n+k+1 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value k+1.at n=39A211836
- Number of nonnegative integer arrays of length n+5 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1.at n=5A211838
- Number of (w,x,y) with all terms in {0,...,n} and 2*|w-x| > max(w,x,y) - min(w,x,y).at n=26A213045
- The Szeged index of a benzenoid consisting of a linear chain of n hexagons.at n=8A245830
- Irregular triangle read by rows: row n gives number of connected graphs on n nodes with forcing number k (n>=1, k>=0).at n=28A256980
- a(n) is the total number of pentagrams in a variant of pentagram fractal after n iterations.at n=13A263418