5,726,238

2 × 3 × 7² × 19477

Starting at 5,726,238, the Collatz iteration reaches 1 after 126 steps. The first transition is 2863119; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 19477

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,322,952

Proper Divisor Sum 7,596,714

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5726213 ← → #5726249

Radix Representation

Decimal	5726238
Binary	10101110110000000011110 (23 bits)
Octal	0o25660036
Hexadecimal	0x57601E

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 19,477 38,954 58,431 116,862 136,339 272,678 409,017 818,034 954,373 1,908,746 2,863,119 5,726,238

Collatz Trajectory (126 steps to reach 1)

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

5,726,238 2,863,119 8,589,358 4,294,679 12,884,038 6,442,019 19,326,058 9,663,029 28,989,088 14,494,544 7,247,272 3,623,636 1,811,818 905,909 2,717,728 1,358,864 679,432 339,716 169,858 84,929 254,788 127,394 63,697 191,092 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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