330,385

5 × 11 × 6007

330,385 factors as 5 × 11 × 6007. Its 8 positive divisors give a proper-divisor sum of 102,191, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 5 × 11 × 6007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 432,576

Proper Divisor Sum 102,191

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #330383 ← → #330389

Radix Representation

Decimal	330385
Binary	1010000101010010001 (19 bits)
Octal	0o1205221
Hexadecimal	0x50A91

Divisor Catalog (8)

1 5 11 55 6,007 30,035 66,077 330,385

Collatz Trajectory (184 steps to reach 1)

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

330,385 991,156 495,578 247,789 743,368 371,684 185,842 92,921 278,764 139,382 69,691 209,074 104,537 313,612 156,806 78,403 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105

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