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Monday, 25 February 2013

MONDAY, 25 FEBRUARY 2013

Today is the 56^{th} day of the year.

56 = 2^3 \times 7

56 is the number of times that 11 can be partitioned. A partition of a number is the number of different ways that the number can be written as a sum of integers where the order is not significant. Thus 11 has the following partitions:

  1. 11
  2. 10 + 1
  3. 9 + 2
  4. 8 + 3
  5. 7 + 4
  6. 6 + 5
  7. 9 + 1 + 1
  8. 8 + 2 + 1
  9. 7 + 3 + 1
  10. 7 + 2 + 2
  11. 6 + 4 + 1
  12. 6 + 3 + 2
  13. 5 + 5 + 1
  14. 5 + 4 + 2
  15. 5 + 3 + 3
  16. 4 + 4 + 3
  17. 8 + 1 + 1 + 1
  18. 7 + 2 + 1 + 1
  19. 6 + 3 + 1 + 1
  20. 6 + 2 + 2 + 1
  21. 5 + 4 + 1 + 1
  22. 5 + 3 + 2 + 1
  23. 5 + 2 + 2 + 2
  24. 4 + 4 + 2 + 1
  25. 4 + 3 + 3 + 1
  26. 4 + 3 + 2 + 2
  27. 3 + 3 + 3 + 2
  28. 7 + 1 + 1 + 1 + 1
  29. 6 + 2 + 1 + 1 + 1
  30. 5 + 3 + 1 + 1 + 1
  31. 5 + 2 + 2 + 1 + 1
  32. 4 + 4 + 1 + 1 + 1
  33. 4 + 3 + 2 + 1 + 1
  34. 4 + 2 + 2 + 2 + 1
  35. 3 + 3 + 3 + 1 + 1
  36. 3 + 3 + 2 + 2 + 1
  37. 3 + 2 + 2 + 2 + 2
  38. 6 + 1 + 1 + 1 + 1 + 1
  39. 5 + 2 + 1 + 1 + 1 + 1
  40. 4 + 3 + 1 + 1 + 1 + 1
  41. 4 + 2 + 2 + 1 + 1 + 1
  42. 3 + 3 + 2 + 1 + 1 + 1
  43. 3 + 2 + 2 + 2 + 1 + 1
  44. 2 + 2 + 2 + 2 + 2 + 1
  45. 5 + 1 + 1 + 1 + 1 + 1 + 1
  46. 4 + 2 + 1 + 1 + 1 + 1 + 1
  47. 3 + 3 + 1 + 1 + 1 + 1 + 1
  48. 3 + 2 + 2 + 1 + 1 + 1 + 1
  49. 2 + 2 + 2 + 2 + 1 + 1 + 1
  50. 4 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  51. 3 + 2 + 1 + 1 + 1 + 1 + 1 + 1
  52. 2 + 2 + 2 + 1 + 1 + 1 + 1 + 1
  53. 3 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  54. 2 + 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  55. 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  56. 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

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