9,713,300

2² × 5² × 137 × 709

Starting at 9,713,300, the Collatz iteration reaches 1 after 269 steps. The first transition is 4856650; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 137 × 709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,261,660

Proper Divisor Sum 11,548,360

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #9713279 ← → #9713303

Radix Representation

Decimal	9713300
Binary	100101000011011010010100 (24 bits)
Octal	0o45033224
Hexadecimal	0x943694

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 137 274 548 685 709 1,370 1,418 2,740 2,836 3,425 3,545 6,850 7,090 13,700 14,180 17,725 35,450 70,900 97,133 194,266 388,532 485,665 971,330 1,942,660 2,428,325 4,856,650 9,713,300

Collatz Trajectory (269 steps to reach 1)

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

9,713,300 4,856,650 2,428,325 7,284,976 3,642,488 1,821,244 910,622 455,311 1,365,934 682,967 2,048,902 1,024,451 3,073,354 1,536,677 4,610,032 2,305,016 1,152,508 576,254 288,127 864,382 432,191 1,296,574 648,287 1,944,862 972,431 2,917,294 1,458,647 4,375,942 2,187,971 6,563,914 3,281,957 9,845,872 4,922,936 2,461,468 1,230,734 615,367 1,846,102 923,051 2,769,154 1,384,577 4,153,732 2,076,866 1,038,433 3,115,300 1,557,650 778,825 2,336,476 1,168,238 584,119 1,752,358 876,179 2,628,538 1,314,269 3,942,808 1,971,404 985,702 492,851 1,478,554 739,277 2,217,832

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