1,802,003

7 × 127 × 2027

1,802,003 factors as 7 × 127 × 2027. Its 8 positive divisors give a proper-divisor sum of 274,669, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 7 × 127 × 2027

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,076,672

Proper Divisor Sum 274,669

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1801997 ← → #1802029

Radix Representation

Decimal	1802003
Binary	110110111111100010011 (21 bits)
Octal	0o6677423
Hexadecimal	0x1B7F13

Divisor Catalog (8)

1 7 127 889 2,027 14,189 257,429 1,802,003

Collatz Trajectory (277 steps to reach 1)

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

1,802,003 5,406,010 2,703,005 8,109,016 4,054,508 2,027,254 1,013,627 3,040,882 1,520,441 4,561,324 2,280,662 1,140,331 3,420,994 1,710,497 5,131,492 2,565,746 1,282,873 3,848,620 1,924,310 962,155 2,886,466 1,443,233 4,329,700 2,164,850 1,082,425 3,247,276 1,623,638 811,819 2,435,458 1,217,729 3,653,188 1,826,594 913,297 2,739,892 1,369,946 684,973 2,054,920 1,027,460 513,730 256,865 770,596 385,298 192,649 577,948 288,974 144,487 433,462 216,731 650,194 325,097 975,292 487,646 243,823 731,470 365,735 1,097,206 548,603 1,645,810 822,905 2,468,716

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