1,767,577

7² × 36073

Starting at 1,767,577, the Collatz iteration reaches 1 after 127 steps. The first transition is 5302732; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 36073

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,056,218

Proper Divisor Sum 288,641

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1767569 ← → #1767593

Radix Representation

Decimal	1767577
Binary	110101111100010011001 (21 bits)
Octal	0o6574231
Hexadecimal	0x1AF899

Divisor Catalog (6)

1 7 49 36,073 252,511 1,767,577

Collatz Trajectory (127 steps to reach 1)

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

1,767,577 5,302,732 2,651,366 1,325,683 3,977,050 1,988,525 5,965,576 2,982,788 1,491,394 745,697 2,237,092 1,118,546 559,273 1,677,820 838,910 419,455 1,258,366 629,183 1,887,550 943,775 2,831,326 1,415,663 4,246,990 2,123,495 6,370,486 3,185,243 9,555,730 4,777,865 14,333,596 7,166,798 3,583,399 10,750,198 5,375,099 16,125,298 8,062,649 24,187,948 12,093,974 6,046,987 18,140,962 9,070,481 27,211,444 13,605,722 6,802,861 20,408,584 10,204,292 5,102,146 2,551,073 7,653,220 3,826,610 1,913,305 5,739,916 2,869,958 1,434,979 4,304,938 2,152,469 6,457,408 3,228,704 1,614,352 807,176 403,588

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