331,368

2³ × 3 × 13807

Starting at 331,368, the Collatz iteration reaches 1 after 60 steps. The first transition is 165684; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13807

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 828,480

Proper Divisor Sum 497,112

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #331367 ← → #331369

Radix Representation

Decimal	331368
Binary	1010000111001101000 (19 bits)
Octal	0o1207150
Hexadecimal	0x50E68

Divisor Catalog (16)

1 2 3 4 6 8 12 24 13,807 27,614 41,421 55,228 82,842 110,456 165,684 331,368

Collatz Trajectory (60 steps to reach 1)

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

331,368 165,684 82,842 41,421 124,264 62,132 31,066 15,533 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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