2,201,765

5 × 269 × 1637

2,201,765 factors as 5 × 269 × 1637. Its 8 positive divisors give a proper-divisor sum of 451,795, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 5 × 269 × 1637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,653,560

Proper Divisor Sum 451,795

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2201761 ← → #2201807

Radix Representation

Decimal	2201765
Binary	1000011001100010100101 (22 bits)
Octal	0o10314245
Hexadecimal	0x2198A5

Divisor Catalog (8)

1 5 269 1,345 1,637 8,185 440,353 2,201,765

Collatz Trajectory (148 steps to reach 1)

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

2,201,765 6,605,296 3,302,648 1,651,324 825,662 412,831 1,238,494 619,247 1,857,742 928,871 2,786,614 1,393,307 4,179,922 2,089,961 6,269,884 3,134,942 1,567,471 4,702,414 2,351,207 7,053,622 3,526,811 10,580,434 5,290,217 15,870,652 7,935,326 3,967,663 11,902,990 5,951,495 17,854,486 8,927,243 26,781,730 13,390,865 40,172,596 20,086,298 10,043,149 30,129,448 15,064,724 7,532,362 3,766,181 11,298,544 5,649,272 2,824,636 1,412,318 706,159 2,118,478 1,059,239 3,177,718 1,588,859 4,766,578 2,383,289 7,149,868 3,574,934 1,787,467 5,362,402 2,681,201 8,043,604 4,021,802 2,010,901 6,032,704 3,016,352

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