3,637,053

3² × 7 × 57731

Starting at 3,637,053, the Collatz iteration reaches 1 after 159 steps. The first transition is 10911160; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 57731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,004,128

Proper Divisor Sum 2,367,075

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3637043 ← → #3637057

Radix Representation

Decimal	3637053
Binary	1101110111111100111101 (22 bits)
Octal	0o15677475
Hexadecimal	0x377F3D

Divisor Catalog (12)

1 3 7 9 21 63 57,731 173,193 404,117 519,579 1,212,351 3,637,053

Collatz Trajectory (159 steps to reach 1)

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

3,637,053 10,911,160 5,455,580 2,727,790 1,363,895 4,091,686 2,045,843 6,137,530 3,068,765 9,206,296 4,603,148 2,301,574 1,150,787 3,452,362 1,726,181 5,178,544 2,589,272 1,294,636 647,318 323,659 970,978 485,489 1,456,468 728,234 364,117 1,092,352 546,176 273,088 136,544 68,272 34,136 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646

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