3,358,503

3⁶ × 17 × 271

Starting at 3,358,503, the Collatz iteration reaches 1 after 159 steps. The first transition is 10075510; the starting value is odd with 28 positive divisors.

Prime Factor Structure

Factorization String 3^6 × 17 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 5,351,328

Proper Divisor Sum 1,992,825

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3358501 ← → #3358507

Radix Representation

Decimal	3358503
Binary	1100110011111100100111 (22 bits)
Octal	0o14637447
Hexadecimal	0x333F27

Divisor Catalog (28)

1 3 9 17 27 51 81 153 243 271 459 729 813 1,377 2,439 4,131 4,607 7,317 12,393 13,821 21,951 41,463 65,853 124,389 197,559 373,167 1,119,501 3,358,503

Collatz Trajectory (159 steps to reach 1)

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

3,358,503 10,075,510 5,037,755 15,113,266 7,556,633 22,669,900 11,334,950 5,667,475 17,002,426 8,501,213 25,503,640 12,751,820 6,375,910 3,187,955 9,563,866 4,781,933 14,345,800 7,172,900 3,586,450 1,793,225 5,379,676 2,689,838 1,344,919 4,034,758 2,017,379 6,052,138 3,026,069 9,078,208 4,539,104 2,269,552 1,134,776 567,388 283,694 141,847 425,542 212,771 638,314 319,157 957,472 478,736 239,368 119,684 59,842 29,921 89,764 44,882 22,441 67,324 33,662 16,831 50,494 25,247 75,742 37,871 113,614 56,807 170,422 85,211 255,634 127,817

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