9,186,765

3 × 5 × 7² × 29 × 431

Starting at 9,186,765, the Collatz iteration reaches 1 after 150 steps. The first transition is 27560296; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 29 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,729,280

Proper Divisor Sum 8,542,515

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9186763 ← → #9186769

Radix Representation

Decimal	9186765
Binary	100011000010110111001101 (24 bits)
Octal	0o43026715
Hexadecimal	0x8C2DCD

Divisor Catalog (48)

1 3 5 7 15 21 29 35 49 87 105 145 147 203 245 431 435 609 735 1,015 1,293 1,421 2,155 3,017 3,045 4,263 6,465 7,105 9,051 12,499 15,085 21,119 21,315 37,497 45,255 62,495 63,357 87,493 105,595 187,485 262,479 316,785 437,465 612,451 1,312,395 1,837,353 3,062,255 9,186,765

Collatz Trajectory (150 steps to reach 1)

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

9,186,765 27,560,296 13,780,148 6,890,074 3,445,037 10,335,112 5,167,556 2,583,778 1,291,889 3,875,668 1,937,834 968,917 2,906,752 1,453,376 726,688 363,344 181,672 90,836 45,418 22,709 68,128 34,064 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

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