9,086,373

3² × 43 × 53 × 443

Starting at 9,086,373, the Collatz iteration reaches 1 after 88 steps. The first transition is 27259120; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 53 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,714,272

Proper Divisor Sum 4,627,899

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9086353 ← → #9086401

Radix Representation

Decimal	9086373
Binary	100010101010010110100101 (24 bits)
Octal	0o42522645
Hexadecimal	0x8AA5A5

Divisor Catalog (24)

1 3 9 43 53 129 159 387 443 477 1,329 2,279 3,987 6,837 19,049 20,511 23,479 57,147 70,437 171,441 211,311 1,009,597 3,028,791 9,086,373

Collatz Trajectory (88 steps to reach 1)

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

9,086,373 27,259,120 13,629,560 6,814,780 3,407,390 1,703,695 5,111,086 2,555,543 7,666,630 3,833,315 11,499,946 5,749,973 17,249,920 8,624,960 4,312,480 2,156,240 1,078,120 539,060 269,530 134,765 404,296 202,148 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268

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