9,004,200

2³ × 3 × 5² × 43 × 349

For 9,004,200, the 96 positive divisors have a total of 28,644,000. Removing 9,004,200 leaves 19,639,800, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 43 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 28,644,000

Proper Divisor Sum 19,639,800

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #9004189 ← → #9004231

Radix Representation

Decimal	9004200
Binary	100010010110010010101000 (24 bits)
Octal	0o42262250
Hexadecimal	0x8964A8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 349 430 516 600 645 698 860 1,032 1,047 1,075 1,290 1,396 1,720 1,745 2,094 2,150 2,580 2,792 3,225 3,490 4,188 4,300 5,160 5,235 6,450 6,980 8,376 8,600 8,725 10,470

Collatz Trajectory (88 steps to reach 1)

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

9,004,200 4,502,100 2,251,050 1,125,525 3,376,576 1,688,288 844,144 422,072 211,036 105,518 52,759 158,278 79,139 237,418 118,709 356,128 178,064 89,032 44,516 22,258 11,129 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588

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