9,200,847

3 × 73 × 42013

Starting at 9,200,847, the Collatz iteration reaches 1 after 225 steps. The first transition is 27602542; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 73 × 42013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,436,144

Proper Divisor Sum 3,235,297

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9200837 ← → #9200879

Radix Representation

Decimal	9200847
Binary	100011000110010011001111 (24 bits)
Octal	0o43062317
Hexadecimal	0x8C64CF

Divisor Catalog (8)

1 3 73 219 42,013 126,039 3,066,949 9,200,847

Collatz Trajectory (225 steps to reach 1)

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

9,200,847 27,602,542 13,801,271 41,403,814 20,701,907 62,105,722 31,052,861 93,158,584 46,579,292 23,289,646 11,644,823 34,934,470 17,467,235 52,401,706 26,200,853 78,602,560 39,301,280 19,650,640 9,825,320 4,912,660 2,456,330 1,228,165 3,684,496 1,842,248 921,124 460,562 230,281 690,844 345,422 172,711 518,134 259,067 777,202 388,601 1,165,804 582,902 291,451 874,354 437,177 1,311,532 655,766 327,883 983,650 491,825 1,475,476 737,738 368,869 1,106,608 553,304 276,652 138,326 69,163 207,490 103,745 311,236 155,618 77,809 233,428 116,714 58,357

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