2,000,510

2 × 5 × 19 × 10529

2,000,510 factors as 2 × 5 × 19 × 10529. Its 16 positive divisors give a proper-divisor sum of 1,790,290, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 10529

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,790,800

Proper Divisor Sum 1,790,290

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #2000503 ← → #2000519

Radix Representation

Decimal	2000510
Binary	111101000011001111110 (21 bits)
Octal	0o7503176
Hexadecimal	0x1E867E

Divisor Catalog (16)

1 2 5 10 19 38 95 190 10,529 21,058 52,645 105,290 200,051 400,102 1,000,255 2,000,510

Collatz Trajectory (215 steps to reach 1)

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

2,000,510 1,000,255 3,000,766 1,500,383 4,501,150 2,250,575 6,751,726 3,375,863 10,127,590 5,063,795 15,191,386 7,595,693 22,787,080 11,393,540 5,696,770 2,848,385 8,545,156 4,272,578 2,136,289 6,408,868 3,204,434 1,602,217 4,806,652 2,403,326 1,201,663 3,604,990 1,802,495 5,407,486 2,703,743 8,111,230 4,055,615 12,166,846 6,083,423 18,250,270 9,125,135 27,375,406 13,687,703 41,063,110 20,531,555 61,594,666 30,797,333 92,392,000 46,196,000 23,098,000 11,549,000 5,774,500 2,887,250 1,443,625 4,330,876 2,165,438 1,082,719 3,248,158 1,624,079 4,872,238 2,436,119 7,308,358 3,654,179 10,962,538 5,481,269 16,443,808

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