517,443

3 × 173 × 997

517,443 factors as 3 × 173 × 997. Its 8 positive divisors give a proper-divisor sum of 177,165, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3 × 173 × 997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 694,608

Proper Divisor Sum 177,165

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #517417 ← → #517457

Radix Representation

Decimal	517443
Binary	1111110010101000011 (19 bits)
Octal	0o1762503
Hexadecimal	0x7E543

Divisor Catalog (8)

1 3 173 519 997 2,991 172,481 517,443

Collatz Trajectory (133 steps to reach 1)

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

517,443 1,552,330 776,165 2,328,496 1,164,248 582,124 291,062 145,531 436,594 218,297 654,892 327,446 163,723 491,170 245,585 736,756 368,378 184,189 552,568 276,284 138,142 69,071 207,214 103,607 310,822 155,411 466,234 233,117 699,352 349,676 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693

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