876,908

2² × 41 × 5347

876,908 factors as 2^2 × 41 × 5347. Its 12 positive divisors give a proper-divisor sum of 695,404, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 5347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,572,312

Proper Divisor Sum 695,404

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #876893 ← → #876913

Radix Representation

Decimal	876908
Binary	11010110000101101100 (20 bits)
Octal	0o3260554
Hexadecimal	0xD616C

Divisor Catalog (12)

1 2 4 41 82 164 5,347 10,694 21,388 219,227 438,454 876,908

Collatz Trajectory (188 steps to reach 1)

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

876,908 438,454 219,227 657,682 328,841 986,524 493,262 246,631 739,894 369,947 1,109,842 554,921 1,664,764 832,382 416,191 1,248,574 624,287 1,872,862 936,431 2,809,294 1,404,647 4,213,942 2,106,971 6,320,914 3,160,457 9,481,372 4,740,686 2,370,343 7,111,030 3,555,515 10,666,546 5,333,273 15,999,820 7,999,910 3,999,955 11,999,866 5,999,933 17,999,800 8,999,900 4,499,950 2,249,975 6,749,926 3,374,963 10,124,890 5,062,445 15,187,336 7,593,668 3,796,834 1,898,417 5,695,252 2,847,626 1,423,813 4,271,440 2,135,720 1,067,860 533,930 266,965 800,896 400,448 200,224

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