9,962,906

2 × 157 × 31729

Starting at 9,962,906, the Collatz iteration reaches 1 after 101 steps. The first transition is 4981453; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 157 × 31729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,040,020

Proper Divisor Sum 5,077,114

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9962893 ← → #9962923

Radix Representation

Decimal	9962906
Binary	100110000000010110011010 (24 bits)
Octal	0o46002632
Hexadecimal	0x98059A

Divisor Catalog (8)

1 2 157 314 31,729 63,458 4,981,453 9,962,906

Collatz Trajectory (101 steps to reach 1)

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

9,962,906 4,981,453 14,944,360 7,472,180 3,736,090 1,868,045 5,604,136 2,802,068 1,401,034 700,517 2,101,552 1,050,776 525,388 262,694 131,347 394,042 197,021 591,064 295,532 147,766 73,883 221,650 110,825 332,476 166,238 83,119 249,358 124,679 374,038 187,019 561,058 280,529 841,588 420,794 210,397 631,192 315,596 157,798 78,899 236,698 118,349 355,048 177,524 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534

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