331,107

3 × 7 × 15767

331,107 factors as 3 × 7 × 15767. Its 8 positive divisors give a proper-divisor sum of 173,469, so this integer is deficient. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 3 × 7 × 15767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 504,576

Proper Divisor Sum 173,469

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #331099 ← → #331127

Radix Representation

Decimal	331107
Binary	1010000110101100011 (19 bits)
Octal	0o1206543
Hexadecimal	0x50D63

Divisor Catalog (8)

1 3 7 21 15,767 47,301 110,369 331,107

Collatz Trajectory (60 steps to reach 1)

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

331,107 993,322 496,661 1,489,984 744,992 372,496 186,248 93,124 46,562 23,281 69,844 34,922 17,461 52,384 26,192 13,096 6,548 3,274 1,637 4,912 2,456 1,228 614 307 922 461 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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