4,382,109

3² × 331 × 1471

For 4,382,109, the 12 positive divisors have a total of 6,353,152. Removing 4,382,109 leaves 1,971,043, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 331 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,353,152

Proper Divisor Sum 1,971,043

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4382101 ← → #4382143

Radix Representation

Decimal	4382109
Binary	10000101101110110011101 (23 bits)
Octal	0o20556635
Hexadecimal	0x42DD9D

Divisor Catalog (12)

1 3 9 331 993 1,471 2,979 4,413 13,239 486,901 1,460,703 4,382,109

Collatz Trajectory (198 steps to reach 1)

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

4,382,109 13,146,328 6,573,164 3,286,582 1,643,291 4,929,874 2,464,937 7,394,812 3,697,406 1,848,703 5,546,110 2,773,055 8,319,166 4,159,583 12,478,750 6,239,375 18,718,126 9,359,063 28,077,190 14,038,595 42,115,786 21,057,893 63,173,680 31,586,840 15,793,420 7,896,710 3,948,355 11,845,066 5,922,533 17,767,600 8,883,800 4,441,900 2,220,950 1,110,475 3,331,426 1,665,713 4,997,140 2,498,570 1,249,285 3,747,856 1,873,928 936,964 468,482 234,241 702,724 351,362 175,681 527,044 263,522 131,761 395,284 197,642 98,821 296,464 148,232 74,116 37,058 18,529 55,588 27,794

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