560,307

3 × 11 × 16979

560,307 factors as 3 × 11 × 16979. Its 8 positive divisors give a proper-divisor sum of 254,733, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3 × 11 × 16979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 815,040

Proper Divisor Sum 254,733

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #560299 ← → #560311

Radix Representation

Decimal	560307
Binary	10001000110010110011 (20 bits)
Octal	0o2106263
Hexadecimal	0x88CB3

Divisor Catalog (8)

1 3 11 33 16,979 50,937 186,769 560,307

Collatz Trajectory (84 steps to reach 1)

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

560,307 1,680,922 840,461 2,521,384 1,260,692 630,346 315,173 945,520 472,760 236,380 118,190 59,095 177,286 88,643 265,930 132,965 398,896 199,448 99,724 49,862 24,931 74,794 37,397 112,192 56,096 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101

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