5,726,224

2⁴ × 7 × 29 × 41 × 43

Starting at 5,726,224, the Collatz iteration reaches 1 after 126 steps. The first transition is 2863112; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 41 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 13,749,120

Proper Divisor Sum 8,022,896

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5726213 ← → #5726249

Radix Representation

Decimal	5726224
Binary	10101110110000000010000 (23 bits)
Octal	0o25660020
Hexadecimal	0x576010

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 29 41 43 56 58 82 86 112 116 164 172 203 232 287 301 328 344 406 464 574 602 656 688 812 1,148 1,189 1,204 1,247 1,624 1,763 2,296 2,378 2,408 2,494 3,248 3,526 4,592 4,756 4,816 4,988 7,052 8,323 8,729 9,512 9,976 12,341 14,104 16,646 17,458 19,024 19,952 24,682

Collatz Trajectory (126 steps to reach 1)

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

5,726,224 2,863,112 1,431,556 715,778 357,889 1,073,668 536,834 268,417 805,252 402,626 201,313 603,940 301,970 150,985 452,956 226,478 113,239 339,718 169,859 509,578 254,789 764,368 382,184 191,092 95,546 47,773 143,320 71,660 35,830 17,915 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328

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