9,208,485

3⁵ × 5 × 11 × 13 × 53

Starting at 9,208,485, the Collatz iteration reaches 1 after 106 steps. The first transition is 27625456; the starting value is odd with 96 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 5 × 11 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,813,248

Proper Divisor Sum 10,604,763

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9208481 ← → #9208489

Radix Representation

Decimal	9208485
Binary	100011001000001010100101 (24 bits)
Octal	0o43101245
Hexadecimal	0x8C82A5

Divisor Catalog (60 of 96)

1 3 5 9 11 13 15 27 33 39 45 53 55 65 81 99 117 135 143 159 165 195 243 265 297 351 405 429 477 495 583 585 689 715 795 891 1,053 1,215 1,287 1,431 1,485 1,749 1,755 2,067 2,145 2,385 2,673 2,915 3,159 3,445 3,861 4,293 4,455 5,247 5,265 6,201 6,435 7,155 7,579 8,745

Collatz Trajectory (106 steps to reach 1)

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

9,208,485 27,625,456 13,812,728 6,906,364 3,453,182 1,726,591 5,179,774 2,589,887 7,769,662 3,884,831 11,654,494 5,827,247 17,481,742 8,740,871 26,222,614 13,111,307 39,333,922 19,666,961 59,000,884 29,500,442 14,750,221 44,250,664 22,125,332 11,062,666 5,531,333 16,594,000 8,297,000 4,148,500 2,074,250 1,037,125 3,111,376 1,555,688 777,844 388,922 194,461 583,384 291,692 145,846 72,923 218,770 109,385 328,156 164,078 82,039 246,118 123,059 369,178 184,589 553,768 276,884 138,442 69,221 207,664 103,832 51,916 25,958 12,979 38,938 19,469 58,408

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