9,765,363

3 × 23 × 307 × 461

Starting at 9,765,363, the Collatz iteration reaches 1 after 344 steps. The first transition is 29296090; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 307 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,660,416

Proper Divisor Sum 3,895,053

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9765359 ← → #9765367

Radix Representation

Decimal	9765363
Binary	100101010000000111110011 (24 bits)
Octal	0o45200763
Hexadecimal	0x9501F3

Divisor Catalog (16)

1 3 23 69 307 461 921 1,383 7,061 10,603 21,183 31,809 141,527 424,581 3,255,121 9,765,363

Collatz Trajectory (344 steps to reach 1)

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

9,765,363 29,296,090 14,648,045 43,944,136 21,972,068 10,986,034 5,493,017 16,479,052 8,239,526 4,119,763 12,359,290 6,179,645 18,538,936 9,269,468 4,634,734 2,317,367 6,952,102 3,476,051 10,428,154 5,214,077 15,642,232 7,821,116 3,910,558 1,955,279 5,865,838 2,932,919 8,798,758 4,399,379 13,198,138 6,599,069 19,797,208 9,898,604 4,949,302 2,474,651 7,423,954 3,711,977 11,135,932 5,567,966 2,783,983 8,351,950 4,175,975 12,527,926 6,263,963 18,791,890 9,395,945 28,187,836 14,093,918 7,046,959 21,140,878 10,570,439 31,711,318 15,855,659 47,566,978 23,783,489 71,350,468 35,675,234 17,837,617 53,512,852 26,756,426 13,378,213

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