9,766,116

2² × 3³ × 31 × 2917

Starting at 9,766,116, the Collatz iteration reaches 1 after 225 steps. The first transition is 4883058; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 31 × 2917

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,145,280

Proper Divisor Sum 16,379,164

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9766103 ← → #9766123

Radix Representation

Decimal	9766116
Binary	100101010000010011100100 (24 bits)
Octal	0o45202344
Hexadecimal	0x9504E4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1,116 1,674 2,917 3,348 5,834 8,751 11,668 17,502 26,253 35,004 52,506 78,759 90,427 105,012 157,518 180,854 271,281 315,036 361,708 542,562 813,843 1,085,124 1,627,686 2,441,529 3,255,372 4,883,058 9,766,116

Collatz Trajectory (225 steps to reach 1)

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

9,766,116 4,883,058 2,441,529 7,324,588 3,662,294 1,831,147 5,493,442 2,746,721 8,240,164 4,120,082 2,060,041 6,180,124 3,090,062 1,545,031 4,635,094 2,317,547 6,952,642 3,476,321 10,428,964 5,214,482 2,607,241 7,821,724 3,910,862 1,955,431 5,866,294 2,933,147 8,799,442 4,399,721 13,199,164 6,599,582 3,299,791 9,899,374 4,949,687 14,849,062 7,424,531 22,273,594 11,136,797 33,410,392 16,705,196 8,352,598 4,176,299 12,528,898 6,264,449 18,793,348 9,396,674 4,698,337 14,095,012 7,047,506 3,523,753 10,571,260 5,285,630 2,642,815 7,928,446 3,964,223 11,892,670 5,946,335 17,839,006 8,919,503 26,758,510 13,379,255

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