9,008,493

3 × 13 × 101 × 2287

Starting at 9,008,493, the Collatz iteration reaches 1 after 93 steps. The first transition is 27025480; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 101 × 2287

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,069,056

Proper Divisor Sum 4,060,563

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9008431 ← → #9008497

Radix Representation

Decimal	9008493
Binary	100010010111010101101101 (24 bits)
Octal	0o42272555
Hexadecimal	0x89756D

Divisor Catalog (16)

1 3 13 39 101 303 1,313 2,287 3,939 6,861 29,731 89,193 230,987 692,961 3,002,831 9,008,493

Collatz Trajectory (93 steps to reach 1)

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

9,008,493 27,025,480 13,512,740 6,756,370 3,378,185 10,134,556 5,067,278 2,533,639 7,600,918 3,800,459 11,401,378 5,700,689 17,102,068 8,551,034 4,275,517 12,826,552 6,413,276 3,206,638 1,603,319 4,809,958 2,404,979 7,214,938 3,607,469 10,822,408 5,411,204 2,705,602 1,352,801 4,058,404 2,029,202 1,014,601 3,043,804 1,521,902 760,951 2,282,854 1,141,427 3,424,282 1,712,141 5,136,424 2,568,212 1,284,106 642,053 1,926,160 963,080 481,540 240,770 120,385 361,156 180,578 90,289 270,868 135,434 67,717 203,152 101,576 50,788 25,394 12,697 38,092 19,046 9,523

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