16093
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21280
- Proper Divisor Sum (Aliquot Sum)
- 5187
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11880
- Möbius Function
- 0
- Radical
- 1463
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- no
- Odd
- yes
Appears in sequences
- Sums of distinct powers of 11.at n=28A033047
- Sums of 3 distinct powers of 11.at n=9A038491
- Determinant of the n X n matrix whose element (i,j) equals the floor( Phi^(i-j) + 1).at n=44A071784
- Number of ways of making change for n cents using coins of sizes 1, 2, 5, 10 cents, when order matters.at n=19A073031
- a(n) = n^4 + n^3 + n^2.at n=11A100019
- Number of (ordered) sequences of coins (each of which has value 1, 2, 5, 10, 20, 50, 100 or 200) which add to n.at n=19A114138
- Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) which add to n.at n=19A114140
- From the game of Quod: number of "squares" on an n X n array of points with the four corner points deleted.at n=19A124479
- Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) for n>4 and with a(0)=-2, a(1)=-1, a(2)=0, a(3)=1, a(4)=2.at n=19A135055
- The second left hand column of triangle A167552.at n=37A167554
- Numerators of partial products of a Hardy-Littlewood constant.at n=7A191998
- Constant term of the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=17A192969
- Number T(n,k) of equivalence classes of ways of placing k 6 X 6 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=6, 0<=k<=floor(n/6)^2, read by rows.at n=45A236829
- Numbers k such that k^2*2^k + 3 is prime.at n=20A259298
- Sum of divisors of the products of the smaller and larger parts of the partitions of n into two parts.at n=42A270528
- Odd numbers k that have a divisor d such that sigma(d)*d is equal to k.at n=5A327599
- Row sums of A342000.at n=17A342020
- Numbers that are the sum of four positive cubes in exactly five ways.at n=40A343986
- Numbers k that have at least one unitary divisor d such that sigma(d)*d is equal to k.at n=54A348034
- a(n) = A003961(n) * sigma(A003961(n)), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.at n=48A361467