11792
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 25296
- Proper Divisor Sum (Aliquot Sum)
- 13504
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 1474
- 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
- 143
- 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
- Second correlation moment for 4-d b.c.c. lattice.at n=2A010560
- tan(tan(arctanh(x)))=x+6/3!*x^3+176/5!*x^5+11792/7!*x^7...at n=3A012177
- a(n) = n*(23*n + 1)/2.at n=32A022281
- Positions of the flipped bits (here they are always set from 0 to 1) in the sequence A059661.at n=28A059662
- Boustrophedon transform of A068717 with A068717(1) = -1 instead of 0.at n=9A068718
- Triangle read by rows giving coefficients in Bernoulli polynomials as defined in A001898, after multiplication by the common denominators A001898(n).at n=59A100655
- Row sums of triangle A101224, which is related to the Flavius sieve (A000960).at n=23A101105
- Number of base 28 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125365
- a(n) = 512n + 16.at n=22A157475
- Diagonal sums of number triangle A176331.at n=12A176334
- a(n) = n*(6*n+4).at n=44A202804
- Number of (n+2) X 4 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.at n=3A202892
- Number of (n+2)X6 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.at n=1A202894
- T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.at n=11A202898
- T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.at n=13A202898
- Number of (n+1)X(n+1) -7..7 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values.at n=6A211444
- a(n) = 2*( a(n-5) + a(n-8) + a(n-11) ) for n >= 12.at n=40A226592
- Number of n X 2 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally.at n=10A232935
- E.g.f. satisfies: A'(x) = A(x)^6 * A(-x)^4 with A(0) = 1.at n=6A235374
- Number of length n 0..2 arrays with no pair in any consecutive three terms totalling exactly 2.at n=22A245989