10743
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14328
- Proper Divisor Sum (Aliquot Sum)
- 3585
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7160
- Möbius Function
- 1
- Radical
- 10743
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- T(n,n-3), array T as in A038792.at n=40A038793
- Largest a(n) values with at most n primes between a(n) and a(n)+sqrt(a(n)) inclusive.at n=7A076044
- Least k such that decimal representation of k*n contains only digits 0 and 3.at n=30A096682
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=22A102532
- Number of ways to color n regions arranged in a line such that consecutive regions do not have the same color.at n=10A103293
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=28A127667
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, -1), (1, 0, -1), (1, 0, 0)}.at n=9A148396
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=38A161463
- Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction.at n=18A250757
- Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements.at n=1A251002
- Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements.at n=1A251004
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements.at n=4A251010
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 438", based on the 5-celled von Neumann neighborhood.at n=28A272219
- a(n) = Sum_{k=1..n} floor(n/k)^4.at n=9A318743
- Number of integer partitions of n whose number of submultisets is greater than or equal to n.at n=34A325832
- Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees.at n=33A331963
- Expansion of e.g.f. 1/(2 - exp(x) - x^2/2).at n=6A352306