10072
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18900
- Proper Divisor Sum (Aliquot Sum)
- 8828
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5032
- Möbius Function
- 0
- Radical
- 2518
- Omega Function (Ω)
- 4
- 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
- 86
- 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 even period and if the last term of the periodic part is deleted the central term is 25.at n=36A031523
- Denominators of continued fraction convergents to sqrt(236).at n=9A041441
- Maximal number of regions into which 4-space can be divided by n hyperspheres.at n=20A059173
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge.at n=38A098498
- Expansion of g.f. Product_{k>=1} 1/(1-x^sigma(k)).at n=48A111865
- Least multiple of n in which the n-th digit from left is 7.at n=3A113562
- Column 0 of triangle A118032, where column 0 of the matrix square of A118032 forms a bisection of this sequence.at n=20A118033
- Triangle T, read by rows, equal to the matrix square of A118032 and also equal to a diagonal bisection of A118032; i.e., diagonal n of T equals diagonal 2n of A118032: T(n,k) = A118032(2n-k,k) for n>=k>=0.at n=55A118040
- Column 0 of triangle A118040, which is the matrix square of triangle A118032; also equals a bisection of A118033, which is column 0 of A118032.at n=10A118041
- n^3 - (n+2)^2.at n=22A153258
- Numbers k such that the sum of the decimal digits of k is a substring of k, of k^2 and of k^3.at n=37A162017
- Number of 3-cycles in range [A000302(n-1)..A024036(n)] of permutation A163355/A163356.at n=13A163914
- a(n) = A163914(2n+1).at n=6A163919
- Symmetric triangle T, read by rows, where the matrix product of T and T transpose yields a square array which, when read by antidiagonals, equals this triangle read by rows.at n=58A194949
- Symmetric triangle T, read by rows, where the matrix product of T and T transpose yields a square array which, when read by antidiagonals, equals this triangle read by rows.at n=62A194949
- Number of 2n X 2 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors.at n=2A198482
- Number of 2nX6 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors.at n=0A198484
- T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors.at n=3A198485
- T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors.at n=5A198485
- Values of x such that x^2 + y^2 = 73^n with x and y coprime and 0 < x < y.at n=4A230962