665,349

3 × 131 × 1693

665,349 factors as 3 × 131 × 1693. Its 8 positive divisors give a proper-divisor sum of 229,083, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 131 × 1693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 894,432

Proper Divisor Sum 229,083

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #665311 ← → #665351

Radix Representation

Decimal	665349
Binary	10100010011100000101 (20 bits)
Octal	0o2423405
Hexadecimal	0xA2705

Divisor Catalog (8)

1 3 131 393 1,693 5,079 221,783 665,349

Collatz Trajectory (92 steps to reach 1)

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

665,349 1,996,048 998,024 499,012 249,506 124,753 374,260 187,130 93,565 280,696 140,348 70,174 35,087 105,262 52,631 157,894 78,947 236,842 118,421 355,264 177,632 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118

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