9,731,608

2³ × 1216451

Starting at 9,731,608, the Collatz iteration reaches 1 after 344 steps. The first transition is 4865804; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1216451

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,246,780

Proper Divisor Sum 8,515,172

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9731587 ← → #9731663

Radix Representation

Decimal	9731608
Binary	100101000111111000011000 (24 bits)
Octal	0o45077030
Hexadecimal	0x947E18

Divisor Catalog (8)

1 2 4 8 1,216,451 2,432,902 4,865,804 9,731,608

Collatz Trajectory (344 steps to reach 1)

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

9,731,608 4,865,804 2,432,902 1,216,451 3,649,354 1,824,677 5,474,032 2,737,016 1,368,508 684,254 342,127 1,026,382 513,191 1,539,574 769,787 2,309,362 1,154,681 3,464,044 1,732,022 866,011 2,598,034 1,299,017 3,897,052 1,948,526 974,263 2,922,790 1,461,395 4,384,186 2,192,093 6,576,280 3,288,140 1,644,070 822,035 2,466,106 1,233,053 3,699,160 1,849,580 924,790 462,395 1,387,186 693,593 2,080,780 1,040,390 520,195 1,560,586 780,293 2,340,880 1,170,440 585,220 292,610 146,305 438,916 219,458 109,729 329,188 164,594 82,297 246,892 123,446 61,723

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