2,000,127

3 × 73 × 9133

2,000,127 factors as 3 × 73 × 9133. Its 8 positive divisors give a proper-divisor sum of 703,537, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 3 × 73 × 9133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,703,664

Proper Divisor Sum 703,537

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2000113 ← → #2000143

Radix Representation

Decimal	2000127
Binary	111101000010011111111 (21 bits)
Octal	0o7502377
Hexadecimal	0x1E84FF

Divisor Catalog (8)

1 3 73 219 9,133 27,399 666,709 2,000,127

Collatz Trajectory (259 steps to reach 1)

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

2,000,127 6,000,382 3,000,191 9,000,574 4,500,287 13,500,862 6,750,431 20,251,294 10,125,647 30,376,942 15,188,471 45,565,414 22,782,707 68,348,122 34,174,061 102,522,184 51,261,092 25,630,546 12,815,273 38,445,820 19,222,910 9,611,455 28,834,366 14,417,183 43,251,550 21,625,775 64,877,326 32,438,663 97,315,990 48,657,995 145,973,986 72,986,993 218,960,980 109,480,490 54,740,245 164,220,736 82,110,368 41,055,184 20,527,592 10,263,796 5,131,898 2,565,949 7,697,848 3,848,924 1,924,462 962,231 2,886,694 1,443,347 4,330,042 2,165,021 6,495,064 3,247,532 1,623,766 811,883 2,435,650 1,217,825 3,653,476 1,826,738 913,369 2,740,108

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