747,452

2² × 67 × 2789

747,452 factors as 2^2 × 67 × 2789. Its 12 positive divisors give a proper-divisor sum of 580,588, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 2789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,328,040

Proper Divisor Sum 580,588

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #747451 ← → #747457

Radix Representation

Decimal	747452
Binary	10110110011110111100 (20 bits)
Octal	0o2663674
Hexadecimal	0xB67BC

Divisor Catalog (12)

1 2 4 67 134 268 2,789 5,578 11,156 186,863 373,726 747,452

Collatz Trajectory (180 steps to reach 1)

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

747,452 373,726 186,863 560,590 280,295 840,886 420,443 1,261,330 630,665 1,891,996 945,998 472,999 1,418,998 709,499 2,128,498 1,064,249 3,192,748 1,596,374 798,187 2,394,562 1,197,281 3,591,844 1,795,922 897,961 2,693,884 1,346,942 673,471 2,020,414 1,010,207 3,030,622 1,515,311 4,545,934 2,272,967 6,818,902 3,409,451 10,228,354 5,114,177 15,342,532 7,671,266 3,835,633 11,506,900 5,753,450 2,876,725 8,630,176 4,315,088 2,157,544 1,078,772 539,386 269,693 809,080 404,540 202,270 101,135 303,406 151,703 455,110 227,555 682,666 341,333 1,024,000

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