5,021,830

2 × 5 × 11 × 71 × 643

Starting at 5,021,830, the Collatz iteration reaches 1 after 175 steps. The first transition is 2510915; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 71 × 643

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,015,488

Proper Divisor Sum 4,993,658

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5021827 ← → #5021837

Radix Representation

Decimal	5021830
Binary	10011001010000010000110 (23 bits)
Octal	0o23120206
Hexadecimal	0x4CA086

Divisor Catalog (32)

1 2 5 10 11 22 55 71 110 142 355 643 710 781 1,286 1,562 3,215 3,905 6,430 7,073 7,810 14,146 35,365 45,653 70,730 91,306 228,265 456,530 502,183 1,004,366 2,510,915 5,021,830

Collatz Trajectory (175 steps to reach 1)

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

5,021,830 2,510,915 7,532,746 3,766,373 11,299,120 5,649,560 2,824,780 1,412,390 706,195 2,118,586 1,059,293 3,177,880 1,588,940 794,470 397,235 1,191,706 595,853 1,787,560 893,780 446,890 223,445 670,336 335,168 167,584 83,792 41,896 20,948 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332

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