λ
Integer Codex

284,245

5 × 13 × 4373
Deficient Odd Composite

For 284,245, the 8 positive divisors have a total of 367,416. Removing 284,245 leaves 83,171, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 4373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 367,416
Proper Divisor Sum 83,171
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #284243 ← → #284261

Radix Representation

Decimal 284245
Binary 1000101011001010101 (19 bits)
Octal 0o1053125
Hexadecimal 0x45655

Divisor Catalog (8)

1 5 13 65 4,373 21,865 56,849 284,245

Collatz Trajectory (189 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

284,245 852,736 426,368 213,184 106,592 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050

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