9,255,428

2² × 7 × 13 × 47 × 541

Starting at 9,255,428, the Collatz iteration reaches 1 after 194 steps. The first transition is 4627714; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 47 × 541

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,396,544

Proper Divisor Sum 11,141,116

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9255427 ← → #9255431

Radix Representation

Decimal	9255428
Binary	100011010011101000000100 (24 bits)
Octal	0o43235004
Hexadecimal	0x8D3A04

Divisor Catalog (48)

1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 541 611 658 1,082 1,222 1,316 2,164 2,444 3,787 4,277 7,033 7,574 8,554 14,066 15,148 17,108 25,427 28,132 49,231 50,854 98,462 101,708 177,989 196,924 330,551 355,978 661,102 711,956 1,322,204 2,313,857 4,627,714 9,255,428

Collatz Trajectory (194 steps to reach 1)

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

9,255,428 4,627,714 2,313,857 6,941,572 3,470,786 1,735,393 5,206,180 2,603,090 1,301,545 3,904,636 1,952,318 976,159 2,928,478 1,464,239 4,392,718 2,196,359 6,589,078 3,294,539 9,883,618 4,941,809 14,825,428 7,412,714 3,706,357 11,119,072 5,559,536 2,779,768 1,389,884 694,942 347,471 1,042,414 521,207 1,563,622 781,811 2,345,434 1,172,717 3,518,152 1,759,076 879,538 439,769 1,319,308 659,654 329,827 989,482 494,741 1,484,224 742,112 371,056 185,528 92,764 46,382 23,191 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784

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