5,757,867

3² × 53 × 12071

Starting at 5,757,867, the Collatz iteration reaches 1 after 245 steps. The first transition is 17273602; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 12071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,474,544

Proper Divisor Sum 2,716,677

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5757827 ← → #5757901

Radix Representation

Decimal	5757867
Binary	10101111101101110101011 (23 bits)
Octal	0o25755653
Hexadecimal	0x57DBAB

Divisor Catalog (12)

1 3 9 53 159 477 12,071 36,213 108,639 639,763 1,919,289 5,757,867

Collatz Trajectory (245 steps to reach 1)

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

5,757,867 17,273,602 8,636,801 25,910,404 12,955,202 6,477,601 19,432,804 9,716,402 4,858,201 14,574,604 7,287,302 3,643,651 10,930,954 5,465,477 16,396,432 8,198,216 4,099,108 2,049,554 1,024,777 3,074,332 1,537,166 768,583 2,305,750 1,152,875 3,458,626 1,729,313 5,187,940 2,593,970 1,296,985 3,890,956 1,945,478 972,739 2,918,218 1,459,109 4,377,328 2,188,664 1,094,332 547,166 273,583 820,750 410,375 1,231,126 615,563 1,846,690 923,345 2,770,036 1,385,018 692,509 2,077,528 1,038,764 519,382 259,691 779,074 389,537 1,168,612 584,306 292,153 876,460 438,230 219,115

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