711,975

3 × 5² × 11 × 863

711,975 factors as 3 × 5^2 × 11 × 863. Its 24 positive divisors give a proper-divisor sum of 573,657, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,285,632

Proper Divisor Sum 573,657

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #711973 ← → #711983

Radix Representation

Decimal	711975
Binary	10101101110100100111 (20 bits)
Octal	0o2556447
Hexadecimal	0xADD27

Divisor Catalog (24)

Collatz Trajectory (97 steps to reach 1)

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

711,975 2,135,926 1,067,963 3,203,890 1,601,945 4,805,836 2,402,918 1,201,459 3,604,378 1,802,189 5,406,568 2,703,284 1,351,642 675,821 2,027,464 1,013,732 506,866 253,433 760,300 380,150 190,075 570,226 285,113 855,340 427,670 213,835 641,506 320,753 962,260 481,130 240,565 721,696 360,848 180,424 90,212 45,106 22,553 67,660 33,830 16,915 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517

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