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Ratio Atlas
Atlas › Integer Profiles › Node 22,489,000

22,489,000

23 × 53 × 43 × 523
Abundant Even Composite

22,489,000 factors as 2^3 × 5^3 × 43 × 523. Its 64 positive divisors give a proper-divisor sum of 31,462,040, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 43 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 53,951,040
Proper Divisor Sum 31,462,040
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #22488997 ← → #22489001

Radix Representation

Decimal 22489000
Binary 1010101110010011110101000 (25 bits)
Octal 0o125623650
Hexadecimal 0x15727A8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 523 860 1,000 1,046 1,075 1,720 2,092 2,150 2,615 4,184 4,300 5,230 5,375 8,600 10,460 10,750 13,075 20,920 21,500 22,489 26,150 43,000 44,978 52,300 65,375 89,956 104,600 112,445 130,750 179,912 224,890 261,500 449,780 523,000 562,225 899,560 1,124,450 2,248,900 2,811,125

Collatz Trajectory (115 steps to reach 1)

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

22,489,000 11,244,500 5,622,250 2,811,125 8,433,376 4,216,688 2,108,344 1,054,172 527,086 263,543 790,630 395,315 1,185,946 592,973 1,778,920 889,460 444,730 222,365 667,096 333,548 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777

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