9,386,325

3² × 5² × 13 × 3209

Starting at 9,386,325, the Collatz iteration reaches 1 after 101 steps. The first transition is 28158976; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 3209

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,110,820

Proper Divisor Sum 8,724,495

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9386309 ← → #9386327

Radix Representation

Decimal	9386325
Binary	100011110011100101010101 (24 bits)
Octal	0o43634525
Hexadecimal	0x8F3955

Divisor Catalog (36)

1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2,925 3,209 9,627 16,045 28,881 41,717 48,135 80,225 125,151 144,405 208,585 240,675 375,453 625,755 722,025 1,042,925 1,877,265 3,128,775 9,386,325

Collatz Trajectory (101 steps to reach 1)

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

9,386,325 28,158,976 14,079,488 7,039,744 3,519,872 1,759,936 879,968 439,984 219,992 109,996 54,998 27,499 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655

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