9,365,125

5³ × 7² × 11 × 139

Starting at 9,365,125, the Collatz iteration reaches 1 after 300 steps. The first transition is 28095376; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 7^2 × 11 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,938,560

Proper Divisor Sum 5,573,435

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9365077 ← → #9365137

Radix Representation

Decimal	9365125
Binary	100011101110011010000101 (24 bits)
Octal	0o43563205
Hexadecimal	0x8EE685

Divisor Catalog (48)

1 5 7 11 25 35 49 55 77 125 139 175 245 275 385 539 695 875 973 1,225 1,375 1,529 1,925 2,695 3,475 4,865 6,125 6,811 7,645 9,625 10,703 13,475 17,375 24,325 34,055 38,225 53,515 67,375 74,921 121,625 170,275 191,125 267,575 374,605 851,375 1,337,875 1,873,025 9,365,125

Collatz Trajectory (300 steps to reach 1)

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

9,365,125 28,095,376 14,047,688 7,023,844 3,511,922 1,755,961 5,267,884 2,633,942 1,316,971 3,950,914 1,975,457 5,926,372 2,963,186 1,481,593 4,444,780 2,222,390 1,111,195 3,333,586 1,666,793 5,000,380 2,500,190 1,250,095 3,750,286 1,875,143 5,625,430 2,812,715 8,438,146 4,219,073 12,657,220 6,328,610 3,164,305 9,492,916 4,746,458 2,373,229 7,119,688 3,559,844 1,779,922 889,961 2,669,884 1,334,942 667,471 2,002,414 1,001,207 3,003,622 1,501,811 4,505,434 2,252,717 6,758,152 3,379,076 1,689,538 844,769 2,534,308 1,267,154 633,577 1,900,732 950,366 475,183 1,425,550 712,775 2,138,326

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