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Atlas › Integer Profiles › Node 2,263,734

2,263,734

2 × 33 × 11 × 37 × 103
Abundant Even Composite

2,263,734 factors as 2 × 3^3 × 11 × 37 × 103. Its 64 positive divisors give a proper-divisor sum of 3,427,146, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 37 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,690,880
Proper Divisor Sum 3,427,146
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2263721 ← → #2263739

Radix Representation

Decimal 2263734
Binary 1000101000101010110110 (22 bits)
Octal 0o10505266
Hexadecimal 0x228AB6

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 103 111 198 206 222 297 309 333 407 594 618 666 814 927 999 1,133 1,221 1,854 1,998 2,266 2,442 2,781 3,399 3,663 3,811 5,562 6,798 7,326 7,622 10,197 10,989 11,433 20,394 21,978 22,866 30,591 34,299 41,921 61,182 68,598 83,842 102,897 125,763 205,794 251,526

Collatz Trajectory (223 steps to reach 1)

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

2,263,734 1,131,867 3,395,602 1,697,801 5,093,404 2,546,702 1,273,351 3,820,054 1,910,027 5,730,082 2,865,041 8,595,124 4,297,562 2,148,781 6,446,344 3,223,172 1,611,586 805,793 2,417,380 1,208,690 604,345 1,813,036 906,518 453,259 1,359,778 679,889 2,039,668 1,019,834 509,917 1,529,752 764,876 382,438 191,219 573,658 286,829 860,488 430,244 215,122 107,561 322,684 161,342 80,671 242,014 121,007 363,022 181,511 544,534 272,267 816,802 408,401 1,225,204 612,602 306,301 918,904 459,452 229,726 114,863 344,590 172,295 516,886

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