5,337,339

3 × 7 × 41 × 6199

Starting at 5,337,339, the Collatz iteration reaches 1 after 170 steps. The first transition is 16012018; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 6199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,332,800

Proper Divisor Sum 2,995,461

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5337313 ← → #5337341

Radix Representation

Decimal	5337339
Binary	10100010111000011111011 (23 bits)
Octal	0o24270373
Hexadecimal	0x5170FB

Divisor Catalog (16)

1 3 7 21 41 123 287 861 6,199 18,597 43,393 130,179 254,159 762,477 1,779,113 5,337,339

Collatz Trajectory (170 steps to reach 1)

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

5,337,339 16,012,018 8,006,009 24,018,028 12,009,014 6,004,507 18,013,522 9,006,761 27,020,284 13,510,142 6,755,071 20,265,214 10,132,607 30,397,822 15,198,911 45,596,734 22,798,367 68,395,102 34,197,551 102,592,654 51,296,327 153,888,982 76,944,491 230,833,474 115,416,737 346,250,212 173,125,106 86,562,553 259,687,660 129,843,830 64,921,915 194,765,746 97,382,873 292,148,620 146,074,310 73,037,155 219,111,466 109,555,733 328,667,200 164,333,600 82,166,800 41,083,400 20,541,700 10,270,850 5,135,425 15,406,276 7,703,138 3,851,569 11,554,708 5,777,354 2,888,677 8,666,032 4,333,016 2,166,508 1,083,254 541,627 1,624,882 812,441 2,437,324 1,218,662

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