9,788,625

3² × 5³ × 7 × 11 × 113

Starting at 9,788,625, the Collatz iteration reaches 1 after 181 steps. The first transition is 29365876; the starting value is odd with 96 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7 × 11 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,194,432

Proper Divisor Sum 12,405,807

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9788599 ← → #9788657

Radix Representation

Decimal	9788625
Binary	100101010101110011010001 (24 bits)
Octal	0o45256321
Hexadecimal	0x955CD1

Divisor Catalog (60 of 96)

1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 113 125 165 175 225 231 275 315 339 375 385 495 525 565 693 791 825 875 1,017 1,125 1,155 1,243 1,375 1,575 1,695 1,925 2,373 2,475 2,625 2,825 3,465 3,729 3,955 4,125 5,085 5,775 6,215 7,119 7,875 8,475 8,701 9,625

Collatz Trajectory (181 steps to reach 1)

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

9,788,625 29,365,876 14,682,938 7,341,469 22,024,408 11,012,204 5,506,102 2,753,051 8,259,154 4,129,577 12,388,732 6,194,366 3,097,183 9,291,550 4,645,775 13,937,326 6,968,663 20,905,990 10,452,995 31,358,986 15,679,493 47,038,480 23,519,240 11,759,620 5,879,810 2,939,905 8,819,716 4,409,858 2,204,929 6,614,788 3,307,394 1,653,697 4,961,092 2,480,546 1,240,273 3,720,820 1,860,410 930,205 2,790,616 1,395,308 697,654 348,827 1,046,482 523,241 1,569,724 784,862 392,431 1,177,294 588,647 1,765,942 882,971 2,648,914 1,324,457 3,973,372 1,986,686 993,343 2,980,030 1,490,015 4,470,046 2,235,023

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