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Atlas › Integer Profiles › Node 5,622,520

5,622,520

23 × 5 × 29 × 37 × 131
Abundant Even Composite

5,622,520 factors as 2^3 × 5 × 29 × 37 × 131. Its 64 positive divisors give a proper-divisor sum of 7,920,680, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 37 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,543,200
Proper Divisor Sum 7,920,680
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5622497 ← → #5622521

Radix Representation

Decimal 5622520
Binary 10101011100101011111000 (23 bits)
Octal 0o25345370
Hexadecimal 0x55CAF8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 29 37 40 58 74 116 131 145 148 185 232 262 290 296 370 524 580 655 740 1,048 1,073 1,160 1,310 1,480 2,146 2,620 3,799 4,292 4,847 5,240 5,365 7,598 8,584 9,694 10,730 15,196 18,995 19,388 21,460 24,235 30,392 37,990 38,776 42,920 48,470 75,980 96,940 140,563 151,960 193,880 281,126 562,252 702,815

Collatz Trajectory (113 steps to reach 1)

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

5,622,520 2,811,260 1,405,630 702,815 2,108,446 1,054,223 3,162,670 1,581,335 4,744,006 2,372,003 7,116,010 3,558,005 10,674,016 5,337,008 2,668,504 1,334,252 667,126 333,563 1,000,690 500,345 1,501,036 750,518 375,259 1,125,778 562,889 1,688,668 844,334 422,167 1,266,502 633,251 1,899,754 949,877 2,849,632 1,424,816 712,408 356,204 178,102 89,051 267,154 133,577 400,732 200,366 100,183 300,550 150,275 450,826 225,413 676,240 338,120 169,060 84,530 42,265 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662

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