16782
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
- 8
- Divisor Sum
- 33576
- Proper Divisor Sum (Aliquot Sum)
- 16794
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5592
- Möbius Function
- -1
- Radical
- 16782
- 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
- 66
- 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
- Numbers k such that k and 4*k are anagrams.at n=3A023088
- a(n) = 7^n - n^2.at n=5A024077
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 86.at n=32A031584
- All differences C(j)-C(i), j>i, of Catalan numbers A000108.at n=42A047075
- Start with i=1 and j=2. Concatenate i and j, get k = floor(ij/j), concatenate j and k, etc.at n=23A127320
- Irregular triangle T(n, k) = [x^k]( p(n, x) ), where p(n, x) = (1-x)^(2*n+4)*( Sum_{j >= 0} j^(n+1)*x^j )^2/x^2, read by rows.at n=38A165889
- Irregular triangle T(n, k) = [x^k]( p(n, x) ), where p(n, x) = (1-x)^(2*n+4)*( Sum_{j >= 0} j^(n+1)*x^j )^2/x^2, read by rows.at n=46A165889
- Monotonic ordering of nonnegative differences 7^i-5^j, for 40>= i>=0, j>=0.at n=19A192196
- Number of nX4 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=1A224122
- T(n,k) is the number of n X k 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=11A224123
- Number of 2Xn 0..3 arrays with row sums nondecreasing and column sums unimodal.at n=3A224124
- Numbers x whose digits can be permuted to produce a multiple of x.at n=31A245680
- Numbers n such that n^3+prime(n) and n^3-prime(n) are prime.at n=39A257788
- a(n) = (n+1)*Sum_{k=0..(n-1)/2}((binomial(2*n-3*k-2,n-k-1))/(n-k)).at n=9A270363
- Number of connected arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.at n=5A288560
- Number of n X n 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=4A304545
- Number of nX5 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=4A304548
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=40A304551
- Number of principal reversible magic squares of order 4n.at n=45A308951
- Irregular table read by rows: T(n,k) is the number of k-sided regions, k>=3, in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row.at n=52A369178