9,384,369

3 × 73² × 587

Starting at 9,384,369, the Collatz iteration reaches 1 after 132 steps. The first transition is 28153108; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 73^2 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,707,856

Proper Divisor Sum 3,323,487

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9384359 ← → #9384373

Radix Representation

Decimal	9384369
Binary	100011110011000110110001 (24 bits)
Octal	0o43630661
Hexadecimal	0x8F31B1

Divisor Catalog (12)

1 3 73 219 587 1,761 5,329 15,987 42,851 128,553 3,128,123 9,384,369

Collatz Trajectory (132 steps to reach 1)

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

9,384,369 28,153,108 14,076,554 7,038,277 21,114,832 10,557,416 5,278,708 2,639,354 1,319,677 3,959,032 1,979,516 989,758 494,879 1,484,638 742,319 2,226,958 1,113,479 3,340,438 1,670,219 5,010,658 2,505,329 7,515,988 3,757,994 1,878,997 5,636,992 2,818,496 1,409,248 704,624 352,312 176,156 88,078 44,039 132,118 66,059 198,178 99,089 297,268 148,634 74,317 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922

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