315,842

2 × 79 × 1999

Starting at 315,842, the Collatz iteration reaches 1 after 127 steps. The first transition is 157921; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 79 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 480,000

Proper Divisor Sum 164,158

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #315829 ← → #315851

Radix Representation

Decimal	315842
Binary	1001101000111000010 (19 bits)
Octal	0o1150702
Hexadecimal	0x4D1C2

Divisor Catalog (8)

1 2 79 158 1,999 3,998 157,921 315,842

Collatz Trajectory (127 steps to reach 1)

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

315,842 157,921 473,764 236,882 118,441 355,324 177,662 88,831 266,494 133,247 399,742 199,871 599,614 299,807 899,422 449,711 1,349,134 674,567 2,023,702 1,011,851 3,035,554 1,517,777 4,553,332 2,276,666 1,138,333 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662 512,831 1,538,494 769,247 2,307,742 1,153,871 3,461,614 1,730,807 5,192,422 2,596,211

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