9,208,736

2⁵ × 31 × 9283

Starting at 9,208,736, the Collatz iteration reaches 1 after 225 steps. The first transition is 4604368; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 31 × 9283

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,716,544

Proper Divisor Sum 9,507,808

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9208733 ← → #9208739

Radix Representation

Decimal	9208736
Binary	100011001000001110100000 (24 bits)
Octal	0o43101640
Hexadecimal	0x8C83A0

Divisor Catalog (24)

1 2 4 8 16 31 32 62 124 248 496 992 9,283 18,566 37,132 74,264 148,528 287,773 297,056 575,546 1,151,092 2,302,184 4,604,368 9,208,736

Collatz Trajectory (225 steps to reach 1)

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

9,208,736 4,604,368 2,302,184 1,151,092 575,546 287,773 863,320 431,660 215,830 107,915 323,746 161,873 485,620 242,810 121,405 364,216 182,108 91,054 45,527 136,582 68,291 204,874 102,437 307,312 153,656 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737

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