9,682,920

2³ × 3² × 5 × 13 × 2069

Starting at 9,682,920, the Collatz iteration reaches 1 after 132 steps. The first transition is 4841460; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 2069

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 33,906,600

Proper Divisor Sum 24,223,680

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9682919 ← → #9682961

Radix Representation

Decimal	9682920
Binary	100100111011111111101000 (24 bits)
Octal	0o44737750
Hexadecimal	0x93BFE8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1,170 1,560 2,069 2,340 4,138 4,680 6,207 8,276 10,345 12,414 16,552 18,621 20,690 24,828 26,897 31,035

Collatz Trajectory (132 steps to reach 1)

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

9,682,920 4,841,460 2,420,730 1,210,365 3,631,096 1,815,548 907,774 453,887 1,361,662 680,831 2,042,494 1,021,247 3,063,742 1,531,871 4,595,614 2,297,807 6,893,422 3,446,711 10,340,134 5,170,067 15,510,202 7,755,101 23,265,304 11,632,652 5,816,326 2,908,163 8,724,490 4,362,245 13,086,736 6,543,368 3,271,684 1,635,842 817,921 2,453,764 1,226,882 613,441 1,840,324 920,162 460,081 1,380,244 690,122 345,061 1,035,184 517,592 258,796 129,398 64,699 194,098 97,049 291,148 145,574 72,787 218,362 109,181 327,544 163,772 81,886 40,943 122,830 61,415

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