9,045,837

3⁴ × 181 × 617

Starting at 9,045,837, the Collatz iteration reaches 1 after 225 steps. The first transition is 27137512; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 181 × 617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,609,596

Proper Divisor Sum 4,563,759

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9045823 ← → #9045847

Radix Representation

Decimal	9045837
Binary	100010100000011101001101 (24 bits)
Octal	0o42403515
Hexadecimal	0x8A074D

Divisor Catalog (20)

1 3 9 27 81 181 543 617 1,629 1,851 4,887 5,553 14,661 16,659 49,977 111,677 335,031 1,005,093 3,015,279 9,045,837

Collatz Trajectory (225 steps to reach 1)

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

9,045,837 27,137,512 13,568,756 6,784,378 3,392,189 10,176,568 5,088,284 2,544,142 1,272,071 3,816,214 1,908,107 5,724,322 2,862,161 8,586,484 4,293,242 2,146,621 6,439,864 3,219,932 1,609,966 804,983 2,414,950 1,207,475 3,622,426 1,811,213 5,433,640 2,716,820 1,358,410 679,205 2,037,616 1,018,808 509,404 254,702 127,351 382,054 191,027 573,082 286,541 859,624 429,812 214,906 107,453 322,360 161,180 80,590 40,295 120,886 60,443 181,330 90,665 271,996 135,998 67,999 203,998 101,999 305,998 152,999 458,998 229,499 688,498 344,249

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