517,871

17 × 41 × 743

517,871 factors as 17 × 41 × 743. Its 8 positive divisors give a proper-divisor sum of 44,593, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 17 × 41 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 562,464

Proper Divisor Sum 44,593

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #517861 ← → #517873

Radix Representation

Decimal	517871
Binary	1111110011011101111 (19 bits)
Octal	0o1763357
Hexadecimal	0x7E6EF

Divisor Catalog (8)

1 17 41 697 743 12,631 30,463 517,871

Collatz Trajectory (257 steps to reach 1)

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

517,871 1,553,614 776,807 2,330,422 1,165,211 3,495,634 1,747,817 5,243,452 2,621,726 1,310,863 3,932,590 1,966,295 5,898,886 2,949,443 8,848,330 4,424,165 13,272,496 6,636,248 3,318,124 1,659,062 829,531 2,488,594 1,244,297 3,732,892 1,866,446 933,223 2,799,670 1,399,835 4,199,506 2,099,753 6,299,260 3,149,630 1,574,815 4,724,446 2,362,223 7,086,670 3,543,335 10,630,006 5,315,003 15,945,010 7,972,505 23,917,516 11,958,758 5,979,379 17,938,138 8,969,069 26,907,208 13,453,604 6,726,802 3,363,401 10,090,204 5,045,102 2,522,551 7,567,654 3,783,827 11,351,482 5,675,741 17,027,224 8,513,612 4,256,806

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