2,042,003

577 × 3539

2,042,003 factors as 577 × 3539. Its 4 positive divisors give a proper-divisor sum of 4,117, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 577 × 3539

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,046,120

Proper Divisor Sum 4,117

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #2041997 ← → #2042017

Radix Representation

Decimal	2042003
Binary	111110010100010010011 (21 bits)
Octal	0o7624223
Hexadecimal	0x1F2893

Divisor Catalog (4)

1 577 3,539 2,042,003

Collatz Trajectory (228 steps to reach 1)

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

2,042,003 6,126,010 3,063,005 9,189,016 4,594,508 2,297,254 1,148,627 3,445,882 1,722,941 5,168,824 2,584,412 1,292,206 646,103 1,938,310 969,155 2,907,466 1,453,733 4,361,200 2,180,600 1,090,300 545,150 272,575 817,726 408,863 1,226,590 613,295 1,839,886 919,943 2,759,830 1,379,915 4,139,746 2,069,873 6,209,620 3,104,810 1,552,405 4,657,216 2,328,608 1,164,304 582,152 291,076 145,538 72,769 218,308 109,154 54,577 163,732 81,866 40,933 122,800 61,400 30,700 15,350 7,675 23,026 11,513 34,540 17,270 8,635 25,906 12,953

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