6,009,400

2³ × 5² × 30047

For 6,009,400, the 24 positive divisors have a total of 13,972,320. Removing 6,009,400 leaves 7,962,920, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 30047

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,972,320

Proper Divisor Sum 7,962,920

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #6009397 ← → #6009401

Radix Representation

Decimal	6009400
Binary	10110111011001000111000 (23 bits)
Octal	0o26731070
Hexadecimal	0x5BB238

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 30,047 60,094 120,188 150,235 240,376 300,470 600,940 751,175 1,201,880 1,502,350 3,004,700 6,009,400

Collatz Trajectory (165 steps to reach 1)

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

6,009,400 3,004,700 1,502,350 751,175 2,253,526 1,126,763 3,380,290 1,690,145 5,070,436 2,535,218 1,267,609 3,802,828 1,901,414 950,707 2,852,122 1,426,061 4,278,184 2,139,092 1,069,546 534,773 1,604,320 802,160 401,080 200,540 100,270 50,135 150,406 75,203 225,610 112,805 338,416 169,208 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244 160,622 80,311 240,934 120,467 361,402 180,701 542,104 271,052 135,526 67,763 203,290 101,645 304,936 152,468 76,234 38,117

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