9,738,701

7² × 233 × 853

Starting at 9,738,701, the Collatz iteration reaches 1 after 225 steps. The first transition is 29216104; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 233 × 853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,390,652

Proper Divisor Sum 1,651,951

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9738667 ← → #9738709

Radix Representation

Decimal	9738701
Binary	100101001001100111001101 (24 bits)
Octal	0o45114715
Hexadecimal	0x9499CD

Divisor Catalog (12)

1 7 49 233 853 1,631 5,971 11,417 41,797 198,749 1,391,243 9,738,701

Collatz Trajectory (225 steps to reach 1)

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

9,738,701 29,216,104 14,608,052 7,304,026 3,652,013 10,956,040 5,478,020 2,739,010 1,369,505 4,108,516 2,054,258 1,027,129 3,081,388 1,540,694 770,347 2,311,042 1,155,521 3,466,564 1,733,282 866,641 2,599,924 1,299,962 649,981 1,949,944 974,972 487,486 243,743 731,230 365,615 1,096,846 548,423 1,645,270 822,635 2,467,906 1,233,953 3,701,860 1,850,930 925,465 2,776,396 1,388,198 694,099 2,082,298 1,041,149 3,123,448 1,561,724 780,862 390,431 1,171,294 585,647 1,756,942 878,471 2,635,414 1,317,707 3,953,122 1,976,561 5,929,684 2,964,842 1,482,421 4,447,264 2,223,632

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