10732
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18788
- Proper Divisor Sum (Aliquot Sum)
- 8056
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5364
- Möbius Function
- 0
- Radical
- 5366
- Omega Function (Ω)
- 3
- 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
- 73
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=24A020435
- Numbers k such that 4*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A056708
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=25A075454
- Distinct-digit averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=16A075456
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n containing k subwords of the type U H^j U or D H^j D for some j>0, where U=(1,1), H=(1,0) and D=(1,-1) (can be easily expressed using RNA secondary structure terminology).at n=43A097100
- Indices of primes in sequence defined by A(0) = 39, A(n) = 10*A(n-1) - 11 for n > 0.at n=9A101843
- Numbers n such that sigma(sigma(phi(n))) = sigma(sigma(n)).at n=21A172466
- Number of n X n binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally.at n=3A181218
- Number of n X 4 binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally.at n=3A181220
- T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally.at n=24A181224
- Dihedral unlabeled Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n unlabeled points equally spaced on a circle, up to rotations and reflections of the circle.at n=15A185100
- a(n) = 1 + 2*n^2 + 3*n^3 + 4*n^4.at n=7A209262
- Number of closed lambda-terms of size n with at most 3 free de Bruijn indices.at n=4A220897
- Numbers that are midway between the nearest square and the nearest cube.at n=17A233075
- Number n such that a2 - n^3 is a triangular number (A000217), where a2 is the least square above n^3.at n=31A233400
- Compositions of n into parts 3, 4 and 7.at n=42A245368
- Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=2A255029
- Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=0A255031
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=3A255036
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=5A255036