10756
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18830
- Proper Divisor Sum (Aliquot Sum)
- 8074
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 5378
- 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 period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=10A031838
- Number of dyslexic rooted planar trees with n nodes.at n=11A032129
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= 6.at n=11A037157
- Orbital periods (length of year) of planets in the solar system, to the nearest whole number of terrestrial days.at n=5A116448
- Square table, read by antidiagonals, where row e.g.f.s, R(n,x), satisfy: d/dx log( R(n,x) )/n = R(n+1,x) with R(n,0) = 1; that is, the logarithmic derivative of the e.g.f. of row n, divided by n, equals the e.g.f. of row n+1, for n>=1.at n=32A145080
- Row 4 of square table A145080.at n=4A145084
- Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors unequal to itself.at n=13A195959
- a(n) = Sum_{i=0..n} digsum_9(i)^3, where digsum_9(i) = A053830(i).at n=36A231686
- G.f. satisfies: A(x) = (1 + x + x^2) * A(x^2)^4.at n=15A237648
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=6A270451
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2*b(n-1) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=14A294420
- Numbers k such that 363*2^k+1 is prime.at n=23A323006
- Partial sums of A323183.at n=35A323187