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2,255,688

23 × 34 × 592
Abundant Even Composite

2,255,688 factors as 2^3 × 3^4 × 59^2. Its 60 positive divisors give a proper-divisor sum of 4,171,227, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 59^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,426,915
Proper Divisor Sum 4,171,227
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2255681 ← → #2255717

Radix Representation

Decimal 2255688
Binary 1000100110101101001000 (22 bits)
Octal 0o10465510
Hexadecimal 0x226B48

Divisor Catalog (60)

1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1,062 1,416 1,593 2,124 3,186 3,481 4,248 4,779 6,372 6,962 9,558 10,443 12,744 13,924 19,116 20,886 27,848 31,329 38,232 41,772 62,658 83,544 93,987 125,316 187,974 250,632 281,961 375,948 563,922 751,896 1,127,844 2,255,688

Collatz Trajectory (179 steps to reach 1)

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

2,255,688 1,127,844 563,922 281,961 845,884 422,942 211,471 634,414 317,207 951,622 475,811 1,427,434 713,717 2,141,152 1,070,576 535,288 267,644 133,822 66,911 200,734 100,367 301,102 150,551 451,654 225,827 677,482 338,741 1,016,224 508,112 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398

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