493,129

7 × 13 × 5419

493,129 factors as 7 × 13 × 5419. Its 8 positive divisors give a proper-divisor sum of 113,911, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 7 × 13 × 5419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 607,040

Proper Divisor Sum 113,911

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #493127 ← → #493133

Radix Representation

Decimal	493129
Binary	1111000011001001001 (19 bits)
Octal	0o1703111
Hexadecimal	0x78649

Divisor Catalog (8)

1 7 13 91 5,419 37,933 70,447 493,129

Collatz Trajectory (182 steps to reach 1)

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

493,129 1,479,388 739,694 369,847 1,109,542 554,771 1,664,314 832,157 2,496,472 1,248,236 624,118 312,059 936,178 468,089 1,404,268 702,134 351,067 1,053,202 526,601 1,579,804 789,902 394,951 1,184,854 592,427 1,777,282 888,641 2,665,924 1,332,962 666,481 1,999,444 999,722 499,861 1,499,584 749,792 374,896 187,448 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772

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