9,626,802

2 × 3 × 31 × 73 × 709

Starting at 9,626,802, the Collatz iteration reaches 1 after 176 steps. The first transition is 4813401; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 73 × 709

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,175,360

Proper Divisor Sum 10,548,558

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9626801 ← → #9626803

Radix Representation

Decimal	9626802
Binary	100100101110010010110010 (24 bits)
Octal	0o44562262
Hexadecimal	0x92E4B2

Divisor Catalog (32)

1 2 3 6 31 62 73 93 146 186 219 438 709 1,418 2,127 2,263 4,254 4,526 6,789 13,578 21,979 43,958 51,757 65,937 103,514 131,874 155,271 310,542 1,604,467 3,208,934 4,813,401 9,626,802

Collatz Trajectory (176 steps to reach 1)

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

9,626,802 4,813,401 14,440,204 7,220,102 3,610,051 10,830,154 5,415,077 16,245,232 8,122,616 4,061,308 2,030,654 1,015,327 3,045,982 1,522,991 4,568,974 2,284,487 6,853,462 3,426,731 10,280,194 5,140,097 15,420,292 7,710,146 3,855,073 11,565,220 5,782,610 2,891,305 8,673,916 4,336,958 2,168,479 6,505,438 3,252,719 9,758,158 4,879,079 14,637,238 7,318,619 21,955,858 10,977,929 32,933,788 16,466,894 8,233,447 24,700,342 12,350,171 37,050,514 18,525,257 55,575,772 27,787,886 13,893,943 41,681,830 20,840,915 62,522,746 31,261,373 93,784,120 46,892,060 23,446,030 11,723,015 35,169,046 17,584,523 52,753,570 26,376,785 79,130,356

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