2,201,011

991 × 2221

2,201,011 factors as 991 × 2221. Its 4 positive divisors give a proper-divisor sum of 3,213, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 991 × 2221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,204,224

Proper Divisor Sum 3,213

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #2200997 ← → #2201033

Radix Representation

Decimal	2201011
Binary	1000011001010110110011 (22 bits)
Octal	0o10312663
Hexadecimal	0x2195B3

Divisor Catalog (4)

1 991 2,221 2,201,011

Collatz Trajectory (197 steps to reach 1)

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

2,201,011 6,603,034 3,301,517 9,904,552 4,952,276 2,476,138 1,238,069 3,714,208 1,857,104 928,552 464,276 232,138 116,069 348,208 174,104 87,052 43,526 21,763 65,290 32,645 97,936 48,968 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738

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