16159
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
- 19152
- Proper Divisor Sum (Aliquot Sum)
- 2993
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13440
- Möbius Function
- -1
- Radical
- 16159
- 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
- 190
- 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
- no
- Odd
- yes
Appears in sequences
- Number of 2n-bead black-white reversible necklaces with n black beads.at n=11A005648
- Number of factorization patterns of polynomials of degree n over F_3.at n=22A006168
- Exponentiation of g.f. for rooted trees.at n=7A006871
- a(n) = T(2n,n-1), where T is the array defined in A025564.at n=6A025573
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 11 of them black.at n=11A032282
- a(n) = (3+n)*(2 + 33*n + n^2)/6.at n=36A101860
- Lucas 9-step numbers.at n=13A105755
- Numbers n with nonzero digits in their decimal representation such that when all numbers formed by inserting the exponentiation symbol between any two digits are added up, the sum is prime.at n=47A113762
- Greatest number m such that the fractional part of (Pi-2)^A153719(m) >= 1-(1/m).at n=12A153723
- Greatest number m such that the fractional part of (Pi-2)^A153720(n) >= 1-(1/m).at n=6A153724
- Number of reduced words of length n in the Weyl group B_11.at n=7A161776
- Number of reduced words of length n in the Weyl group D_11.at n=7A162288
- Expansion of x^4*(2-7*x+6*x^2+x^3-x^4)/((1-x)*(1-2*x)^4*(1-3*x+x^2)).at n=10A219757
- Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 6 array.at n=4A219913
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.at n=49A219915
- Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 5Xn array.at n=5A219918
- Number of nX2 nonnegative integer arrays with upper left 0 and lower right n+2-5 and value increasing by 0 or 1 with every step right or down.at n=12A252970
- Number of partitions of n into two sorts of parts having exactly 3 parts of the second sort.at n=14A258473
- Convolution of nonzero triangular numbers (A000217) and nonzero tetradecagonal numbers (A051866).at n=9A271567
- Convolution of nonzero pentagonal numbers (A000326) with themselves.at n=10A271662