5,729,320

2³ × 5 × 43 × 3331

Starting at 5,729,320, the Collatz iteration reaches 1 after 214 steps. The first transition is 2864660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 3331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,194,720

Proper Divisor Sum 7,465,400

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5729263 ← → #5729329

Radix Representation

Decimal	5729320
Binary	10101110110110000101000 (23 bits)
Octal	0o25666050
Hexadecimal	0x576C28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 3,331 6,662 13,324 16,655 26,648 33,310 66,620 133,240 143,233 286,466 572,932 716,165 1,145,864 1,432,330 2,864,660 5,729,320

Collatz Trajectory (214 steps to reach 1)

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

5,729,320 2,864,660 1,432,330 716,165 2,148,496 1,074,248 537,124 268,562 134,281 402,844 201,422 100,711 302,134 151,067 453,202 226,601 679,804 339,902 169,951 509,854 254,927 764,782 382,391 1,147,174 573,587 1,720,762 860,381 2,581,144 1,290,572 645,286 322,643 967,930 483,965 1,451,896 725,948 362,974 181,487 544,462 272,231 816,694 408,347 1,225,042 612,521 1,837,564 918,782 459,391 1,378,174 689,087 2,067,262 1,033,631 3,100,894 1,550,447 4,651,342 2,325,671 6,977,014 3,488,507 10,465,522 5,232,761 15,698,284 7,849,142

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