863,175

3 × 5² × 17 × 677

863,175 factors as 3 × 5^2 × 17 × 677. Its 24 positive divisors give a proper-divisor sum of 650,121, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,513,296

Proper Divisor Sum 650,121

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #863153 ← → #863179

Radix Representation

Decimal	863175
Binary	11010010101111000111 (20 bits)
Octal	0o3225707
Hexadecimal	0xD2BC7

Divisor Catalog (24)

Collatz Trajectory (100 steps to reach 1)

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

863,175 2,589,526 1,294,763 3,884,290 1,942,145 5,826,436 2,913,218 1,456,609 4,369,828 2,184,914 1,092,457 3,277,372 1,638,686 819,343 2,458,030 1,229,015 3,687,046 1,843,523 5,530,570 2,765,285 8,295,856 4,147,928 2,073,964 1,036,982 518,491 1,555,474 777,737 2,333,212 1,166,606 583,303 1,749,910 874,955 2,624,866 1,312,433 3,937,300 1,968,650 984,325 2,952,976 1,476,488 738,244 369,122 184,561 553,684 276,842 138,421 415,264 207,632 103,816 51,908 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476

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