2,273,013

3² × 31 × 8147

2,273,013 factors as 3^2 × 31 × 8147. Its 12 positive divisors give a proper-divisor sum of 1,116,555, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 8147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,389,568

Proper Divisor Sum 1,116,555

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2272997 ← → #2273017

Radix Representation

Decimal	2273013
Binary	1000101010111011110101 (22 bits)
Octal	0o10527365
Hexadecimal	0x22AEF5

Divisor Catalog (12)

1 3 9 31 93 279 8,147 24,441 73,323 252,557 757,671 2,273,013

Collatz Trajectory (254 steps to reach 1)

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

2,273,013 6,819,040 3,409,520 1,704,760 852,380 426,190 213,095 639,286 319,643 958,930 479,465 1,438,396 719,198 359,599 1,078,798 539,399 1,618,198 809,099 2,427,298 1,213,649 3,640,948 1,820,474 910,237 2,730,712 1,365,356 682,678 341,339 1,024,018 512,009 1,536,028 768,014 384,007 1,152,022 576,011 1,728,034 864,017 2,592,052 1,296,026 648,013 1,944,040 972,020 486,010 243,005 729,016 364,508 182,254 91,127 273,382 136,691 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667 173,002 86,501

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