4,443,405

3 × 5 × 43 × 83²

4,443,405 is odd and not a perfect square. Its factorization is 3 × 5 × 43 × 83^2 and its 24 divisors sum to 7,363,488.

Prime Factor Structure

Factorization String 3 × 5 × 43 × 83^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,363,488

Proper Divisor Sum 2,920,083

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4443403 ← → #4443419

Radix Representation

Decimal	4443405
Binary	10000111100110100001101 (23 bits)
Octal	0o20746415
Hexadecimal	0x43CD0D

Divisor Catalog (24)

1 3 5 15 43 83 129 215 249 415 645 1,245 3,569 6,889 10,707 17,845 20,667 34,445 53,535 103,335 296,227 888,681 1,481,135 4,443,405

Collatz Trajectory (286 steps to reach 1)

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

4,443,405 13,330,216 6,665,108 3,332,554 1,666,277 4,998,832 2,499,416 1,249,708 624,854 312,427 937,282 468,641 1,405,924 702,962 351,481 1,054,444 527,222 263,611 790,834 395,417 1,186,252 593,126 296,563 889,690 444,845 1,334,536 667,268 333,634 166,817 500,452 250,226 125,113 375,340 187,670 93,835 281,506 140,753 422,260 211,130 105,565 316,696 158,348 79,174 39,587 118,762 59,381 178,144 89,072 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187

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