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Atlas › Integer Profiles › Node 22,820,588

22,820,588

22 × 7 × 31 × 61 × 431
Abundant Even Composite

22,820,588 factors as 2^2 × 7 × 31 × 61 × 431. Its 48 positive divisors give a proper-divisor sum of 25,176,340, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 61 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,996,928
Proper Divisor Sum 25,176,340
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #22820569 ← → #22820591

Radix Representation

Decimal 22820588
Binary 1010111000011011011101100 (25 bits)
Octal 0o127033354
Hexadecimal 0x15C36EC

Divisor Catalog (48)

1 2 4 7 14 28 31 61 62 122 124 217 244 427 431 434 854 862 868 1,708 1,724 1,891 3,017 3,782 6,034 7,564 12,068 13,237 13,361 26,291 26,474 26,722 52,582 52,948 53,444 93,527 105,164 184,037 187,054 368,074 374,108 736,148 815,021 1,630,042 3,260,084 5,705,147 11,410,294 22,820,588

Collatz Trajectory (128 steps to reach 1)

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

22,820,588 11,410,294 5,705,147 17,115,442 8,557,721 25,673,164 12,836,582 6,418,291 19,254,874 9,627,437 28,882,312 14,441,156 7,220,578 3,610,289 10,830,868 5,415,434 2,707,717 8,123,152 4,061,576 2,030,788 1,015,394 507,697 1,523,092 761,546 380,773 1,142,320 571,160 285,580 142,790 71,395 214,186 107,093 321,280 160,640 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025

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