2,001,031

443 × 4517

2,001,031 factors as 443 × 4517. Its 4 positive divisors give a proper-divisor sum of 4,961, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 443 × 4517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,005,992

Proper Divisor Sum 4,961

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #2000989 ← → #2001037

Radix Representation

Decimal	2001031
Binary	111101000100010000111 (21 bits)
Octal	0o7504207
Hexadecimal	0x1E8887

Divisor Catalog (4)

1 443 4,517 2,001,031

Collatz Trajectory (140 steps to reach 1)

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

2,001,031 6,003,094 3,001,547 9,004,642 4,502,321 13,506,964 6,753,482 3,376,741 10,130,224 5,065,112 2,532,556 1,266,278 633,139 1,899,418 949,709 2,849,128 1,424,564 712,282 356,141 1,068,424 534,212 267,106 133,553 400,660 200,330 100,165 300,496 150,248 75,124 37,562 18,781 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119

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