9,709,931

7 × 11 × 19 × 6637

Starting at 9,709,931, the Collatz iteration reaches 1 after 119 steps. The first transition is 29129794; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 19 × 6637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,744,960

Proper Divisor Sum 3,035,029

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9709927 ← → #9709937

Radix Representation

Decimal	9709931
Binary	100101000010100101101011 (24 bits)
Octal	0o45024553
Hexadecimal	0x94296B

Divisor Catalog (16)

1 7 11 19 77 133 209 1,463 6,637 46,459 73,007 126,103 511,049 882,721 1,387,133 9,709,931

Collatz Trajectory (119 steps to reach 1)

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

9,709,931 29,129,794 14,564,897 43,694,692 21,847,346 10,923,673 32,771,020 16,385,510 8,192,755 24,578,266 12,289,133 36,867,400 18,433,700 9,216,850 4,608,425 13,825,276 6,912,638 3,456,319 10,368,958 5,184,479 15,553,438 7,776,719 23,330,158 11,665,079 34,995,238 17,497,619 52,492,858 26,246,429 78,739,288 39,369,644 19,684,822 9,842,411 29,527,234 14,763,617 44,290,852 22,145,426 11,072,713 33,218,140 16,609,070 8,304,535 24,913,606 12,456,803 37,370,410 18,685,205 56,055,616 28,027,808 14,013,904 7,006,952 3,503,476 1,751,738 875,869 2,627,608 1,313,804 656,902 328,451 985,354 492,677 1,478,032 739,016 369,508

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