3,382,009

29 × 139 × 839

For 3,382,009, the 8 positive divisors have a total of 3,528,000. Removing 3,382,009 leaves 145,991, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 139 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,528,000

Proper Divisor Sum 145,991

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3382003 ← → #3382013

Radix Representation

Decimal	3382009
Binary	1100111001101011111001 (22 bits)
Octal	0o14715371
Hexadecimal	0x339AF9

Divisor Catalog (8)

1 29 139 839 4,031 24,331 116,621 3,382,009

Collatz Trajectory (159 steps to reach 1)

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

3,382,009 10,146,028 5,073,014 2,536,507 7,609,522 3,804,761 11,414,284 5,707,142 2,853,571 8,560,714 4,280,357 12,841,072 6,420,536 3,210,268 1,605,134 802,567 2,407,702 1,203,851 3,611,554 1,805,777 5,417,332 2,708,666 1,354,333 4,063,000 2,031,500 1,015,750 507,875 1,523,626 761,813 2,285,440 1,142,720 571,360 285,680 142,840 71,420 35,710 17,855 53,566 26,783 80,350 40,175 120,526 60,263 180,790 90,395 271,186 135,593 406,780 203,390 101,695 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253

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