4,009,098

2 × 3 × 37 × 18059

For 4,009,098, the 16 positive divisors have a total of 8,235,360. Removing 4,009,098 leaves 4,226,262, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 18059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,235,360

Proper Divisor Sum 4,226,262

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4009097 ← → #4009139

Radix Representation

Decimal	4009098
Binary	1111010010110010001010 (22 bits)
Octal	0o17226212
Hexadecimal	0x3D2C8A

Divisor Catalog (16)

1 2 3 6 37 74 111 222 18,059 36,118 54,177 108,354 668,183 1,336,366 2,004,549 4,009,098

Collatz Trajectory (61 steps to reach 1)

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

4,009,098 2,004,549 6,013,648 3,006,824 1,503,412 751,706 375,853 1,127,560 563,780 281,890 140,945 422,836 211,418 105,709 317,128 158,564 79,282 39,641 118,924 59,462 29,731 89,194 44,597 133,792 66,896 33,448 16,724 8,362 4,181 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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