4,133,205

3² × 5 × 53 × 1733

Starting at 4,133,205, the Collatz iteration reaches 1 after 79 steps. The first transition is 12399616; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 53 × 1733

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,303,608

Proper Divisor Sum 3,170,403

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4133189 ← → #4133209

Radix Representation

Decimal	4133205
Binary	1111110001000101010101 (22 bits)
Octal	0o17610525
Hexadecimal	0x3F1155

Divisor Catalog (24)

1 3 5 9 15 45 53 159 265 477 795 1,733 2,385 5,199 8,665 15,597 25,995 77,985 91,849 275,547 459,245 826,641 1,377,735 4,133,205

Collatz Trajectory (79 steps to reach 1)

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

4,133,205 12,399,616 6,199,808 3,099,904 1,549,952 774,976 387,488 193,744 96,872 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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