660,429

3² × 7 × 11 × 953

660,429 factors as 3^2 × 7 × 11 × 953. Its 24 positive divisors give a proper-divisor sum of 530,163, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,190,592

Proper Divisor Sum 530,163

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #660409 ← → #660449

Radix Representation

Decimal	660429
Binary	10100001001111001101 (20 bits)
Octal	0o2411715
Hexadecimal	0xA13CD

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 953 2,859 6,671 8,577 10,483 20,013 31,449 60,039 73,381 94,347 220,143 660,429

Collatz Trajectory (185 steps to reach 1)

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

660,429 1,981,288 990,644 495,322 247,661 742,984 371,492 185,746 92,873 278,620 139,310 69,655 208,966 104,483 313,450 156,725 470,176 235,088 117,544 58,772 29,386 14,693 44,080 22,040 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 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

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