9,904,176

2⁴ × 3² × 109 × 631

Starting at 9,904,176, the Collatz iteration reaches 1 after 83 steps. The first transition is 4952088; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 109 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 28,016,560

Proper Divisor Sum 18,112,384

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9904157 ← → #9904189

Radix Representation

Decimal	9904176
Binary	100101110010000000110000 (24 bits)
Octal	0o45620060
Hexadecimal	0x972030

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 631 654 872 981 1,262 1,308 1,744 1,893 1,962 2,524 2,616 3,786 3,924 5,048 5,232 5,679 7,572 7,848 10,096 11,358 15,144 15,696 22,716 30,288 45,432 68,779 90,864 137,558 206,337 275,116 412,674 550,232 619,011 825,348 1,100,464 1,238,022 1,650,696 2,476,044 3,301,392 4,952,088 9,904,176

Collatz Trajectory (83 steps to reach 1)

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

9,904,176 4,952,088 2,476,044 1,238,022 619,011 1,857,034 928,517 2,785,552 1,392,776 696,388 348,194 174,097 522,292 261,146 130,573 391,720 195,860 97,930 48,965 146,896 73,448 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49

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