5,978,198

2 × 19 × 157321

Starting at 5,978,198, the Collatz iteration reaches 1 after 90 steps. The first transition is 2989099; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 157321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,439,320

Proper Divisor Sum 3,461,122

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #5978177 ← → #5978213

Radix Representation

Decimal	5978198
Binary	10110110011100001010110 (23 bits)
Octal	0o26634126
Hexadecimal	0x5B3856

Divisor Catalog (8)

1 2 19 38 157,321 314,642 2,989,099 5,978,198

Collatz Trajectory (90 steps to reach 1)

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

5,978,198 2,989,099 8,967,298 4,483,649 13,450,948 6,725,474 3,362,737 10,088,212 5,044,106 2,522,053 7,566,160 3,783,080 1,891,540 945,770 472,885 1,418,656 709,328 354,664 177,332 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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