10,002,306

2 × 3 × 1667051

10,002,306 factors as 2 × 3 × 1667051. Its 8 positive divisors give a proper-divisor sum of 10,002,318, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3 × 1667051

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 20,004,624

Proper Divisor Sum 10,002,318

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #10002287 ← → #10002323

Radix Representation

Decimal	10002306
Binary	100110001001111110000010 (24 bits)
Octal	0o46117602
Hexadecimal	0x989F82

Divisor Catalog (8)

1 2 3 6 1,667,051 3,334,102 5,001,153 10,002,306

Collatz Trajectory (137 steps to reach 1)

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

10,002,306 5,001,153 15,003,460 7,501,730 3,750,865 11,252,596 5,626,298 2,813,149 8,439,448 4,219,724 2,109,862 1,054,931 3,164,794 1,582,397 4,747,192 2,373,596 1,186,798 593,399 1,780,198 890,099 2,670,298 1,335,149 4,005,448 2,002,724 1,001,362 500,681 1,502,044 751,022 375,511 1,126,534 563,267 1,689,802 844,901 2,534,704 1,267,352 633,676 316,838 158,419 475,258 237,629 712,888 356,444 178,222 89,111 267,334 133,667 401,002 200,501 601,504 300,752 150,376 75,188 37,594 18,797 56,392 28,196 14,098 7,049 21,148 10,574

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