5,017,377

3 × 29 × 101 × 571

Starting at 5,017,377, the Collatz iteration reaches 1 after 162 steps. The first transition is 15052132; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 101 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,001,280

Proper Divisor Sum 1,983,903

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5017361 ← → #5017399

Radix Representation

Decimal	5017377
Binary	10011001000111100100001 (23 bits)
Octal	0o23107441
Hexadecimal	0x4C8F21

Divisor Catalog (16)

1 3 29 87 101 303 571 1,713 2,929 8,787 16,559 49,677 57,671 173,013 1,672,459 5,017,377

Collatz Trajectory (162 steps to reach 1)

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

5,017,377 15,052,132 7,526,066 3,763,033 11,289,100 5,644,550 2,822,275 8,466,826 4,233,413 12,700,240 6,350,120 3,175,060 1,587,530 793,765 2,381,296 1,190,648 595,324 297,662 148,831 446,494 223,247 669,742 334,871 1,004,614 502,307 1,506,922 753,461 2,260,384 1,130,192 565,096 282,548 141,274 70,637 211,912 105,956 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826

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