6,000,523

19 × 313 × 1009

6,000,523 factors as 19 × 313 × 1009. Its 8 positive divisors give a proper-divisor sum of 342,277, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 19 × 313 × 1009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,342,800

Proper Divisor Sum 342,277

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #6000503 ← → #6000529

Radix Representation

Decimal	6000523
Binary	10110111000111110001011 (23 bits)
Octal	0o26707613
Hexadecimal	0x5B8F8B

Divisor Catalog (8)

1 19 313 1,009 5,947 19,171 315,817 6,000,523

Collatz Trajectory (258 steps to reach 1)

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

6,000,523 18,001,570 9,000,785 27,002,356 13,501,178 6,750,589 20,251,768 10,125,884 5,062,942 2,531,471 7,594,414 3,797,207 11,391,622 5,695,811 17,087,434 8,543,717 25,631,152 12,815,576 6,407,788 3,203,894 1,601,947 4,805,842 2,402,921 7,208,764 3,604,382 1,802,191 5,406,574 2,703,287 8,109,862 4,054,931 12,164,794 6,082,397 18,247,192 9,123,596 4,561,798 2,280,899 6,842,698 3,421,349 10,264,048 5,132,024 2,566,012 1,283,006 641,503 1,924,510 962,255 2,886,766 1,443,383 4,330,150 2,165,075 6,495,226 3,247,613 9,742,840 4,871,420 2,435,710 1,217,855 3,653,566 1,826,783 5,480,350 2,740,175 8,220,526

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