753,174

2 × 3² × 41843

753,174 factors as 2 × 3^2 × 41843. Its 12 positive divisors give a proper-divisor sum of 878,742, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 41843

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,631,916

Proper Divisor Sum 878,742

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #753161 ← → #753187

Radix Representation

Decimal	753174
Binary	10110111111000010110 (20 bits)
Octal	0o2677026
Hexadecimal	0xB7E16

Divisor Catalog (12)

1 2 3 6 9 18 41,843 83,686 125,529 251,058 376,587 753,174

Collatz Trajectory (180 steps to reach 1)

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

753,174 376,587 1,129,762 564,881 1,694,644 847,322 423,661 1,270,984 635,492 317,746 158,873 476,620 238,310 119,155 357,466 178,733 536,200 268,100 134,050 67,025 201,076 100,538 50,269 150,808 75,404 37,702 18,851 56,554 28,277 84,832 42,416 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781

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