5,746,671

3² × 7² × 83 × 157

Starting at 5,746,671, the Collatz iteration reaches 1 after 183 steps. The first transition is 17240014; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 83 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,834,552

Proper Divisor Sum 4,087,881

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5746651 ← → #5746673

Radix Representation

Decimal	5746671
Binary	10101111010111111101111 (23 bits)
Octal	0o25727757
Hexadecimal	0x57AFEF

Divisor Catalog (36)

1 3 7 9 21 49 63 83 147 157 249 441 471 581 747 1,099 1,413 1,743 3,297 4,067 5,229 7,693 9,891 12,201 13,031 23,079 36,603 39,093 69,237 91,217 117,279 273,651 638,519 820,953 1,915,557 5,746,671

Collatz Trajectory (183 steps to reach 1)

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

5,746,671 17,240,014 8,620,007 25,860,022 12,930,011 38,790,034 19,395,017 58,185,052 29,092,526 14,546,263 43,638,790 21,819,395 65,458,186 32,729,093 98,187,280 49,093,640 24,546,820 12,273,410 6,136,705 18,410,116 9,205,058 4,602,529 13,807,588 6,903,794 3,451,897 10,355,692 5,177,846 2,588,923 7,766,770 3,883,385 11,650,156 5,825,078 2,912,539 8,737,618 4,368,809 13,106,428 6,553,214 3,276,607 9,829,822 4,914,911 14,744,734 7,372,367 22,117,102 11,058,551 33,175,654 16,587,827 49,763,482 24,881,741 74,645,224 37,322,612 18,661,306 9,330,653 27,991,960 13,995,980 6,997,990 3,498,995 10,496,986 5,248,493 15,745,480 7,872,740

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