10147
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
- 4
- Divisor Sum
- 10360
- Proper Divisor Sum (Aliquot Sum)
- 213
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9936
- Möbius Function
- 1
- Radical
- 10147
- 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
- 34
- 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
- Number of 4 X 4 matrices with nonnegative integer entries and row and column sums equal to n.at n=4A001496
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=37A020413
- 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 99.at n=32A031597
- a(n) = a(n-2) + 2*a(n-3) + a(n-4).at n=18A036605
- a(1) = 1, a(n) = a(n - 1) + pi(a(n - 1)) + 1.at n=40A065962
- a(n)=A074639(A074647(n)).at n=36A074648
- a(n) = hypergeom([ -n, (n+4)/2, (n+5)/2], [3, 2], -4).at n=4A087659
- Semiperimeter of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=13A089549
- a(n) = a(n-2)+a(n-3)+a(n-4)+a(n-5)+2*a(n-6)+a(n-7).at n=23A109541
- Number of nonnegative integer matrices of order n for which all row and column sums equal n.at n=4A110058
- Trajectory of 4 under map k -> A094077(k).at n=48A117149
- Nonzero entries in the array on page 8 of the reference.at n=46A140878
- Number of binary strings of length n with no substrings equal to 0001 0100 or 0110.at n=14A164463
- Number of n X n of nonnegative integers with all row and column sums equal to 4.at n=4A172806
- Number of n X n 0..4 arrays with row sums 12 and column sums 12.at n=3A172810
- Number of n X 4 0..4 arrays with row sums 4 and column sums n.at n=3A172816
- Number of n X n 0..4 arrays with row sums n and column sums n.at n=3A172822
- Number of n X n 0..5 arrays with row sums n and column sums n.at n=3A172873
- Number of n X n 0..6 arrays with row sums n and column sums n.at n=3A172907
- Number of n X n 0..7 arrays with row sums n and column sums n.at n=3A172932