752,641

17 × 44273

752,641 factors as 17 × 44273. Its 4 positive divisors give a proper-divisor sum of 44,291, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 17 × 44273

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 796,932

Proper Divisor Sum 44,291

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #752639 ← → #752651

Radix Representation

Decimal	752641
Binary	10110111110000000001 (20 bits)
Octal	0o2676001
Hexadecimal	0xB7C01

Divisor Catalog (4)

1 17 44,273 752,641

Collatz Trajectory (87 steps to reach 1)

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

752,641 2,257,924 1,128,962 564,481 1,693,444 846,722 423,361 1,270,084 635,042 317,521 952,564 476,282 238,141 714,424 357,212 178,606 89,303 267,910 133,955 401,866 200,933 602,800 301,400 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778

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