9,904,626

2 × 3³ × 149 × 1231

Starting at 9,904,626, the Collatz iteration reaches 1 after 145 steps. The first transition is 4952313; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 149 × 1231

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,176,000

Proper Divisor Sum 12,271,374

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9904621 ← → #9904633

Radix Representation

Decimal	9904626
Binary	100101110010000111110010 (24 bits)
Octal	0o45620762
Hexadecimal	0x9721F2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 149 298 447 894 1,231 1,341 2,462 2,682 3,693 4,023 7,386 8,046 11,079 22,158 33,237 66,474 183,419 366,838 550,257 1,100,514 1,650,771 3,301,542 4,952,313 9,904,626

Collatz Trajectory (145 steps to reach 1)

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

9,904,626 4,952,313 14,856,940 7,428,470 3,714,235 11,142,706 5,571,353 16,714,060 8,357,030 4,178,515 12,535,546 6,267,773 18,803,320 9,401,660 4,700,830 2,350,415 7,051,246 3,525,623 10,576,870 5,288,435 15,865,306 7,932,653 23,797,960 11,898,980 5,949,490 2,974,745 8,924,236 4,462,118 2,231,059 6,693,178 3,346,589 10,039,768 5,019,884 2,509,942 1,254,971 3,764,914 1,882,457 5,647,372 2,823,686 1,411,843 4,235,530 2,117,765 6,353,296 3,176,648 1,588,324 794,162 397,081 1,191,244 595,622 297,811 893,434 446,717 1,340,152 670,076 335,038 167,519 502,558 251,279 753,838 376,919

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