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Atlas › Integer Profiles › Node 28,058,500

28,058,500

22 × 53 × 17 × 3301
Abundant Even Composite

28,058,500 factors as 2^2 × 5^3 × 17 × 3301. Its 48 positive divisors give a proper-divisor sum of 36,845,612, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 17 × 3301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,904,112
Proper Divisor Sum 36,845,612
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #28058477 ← → #28058501

Radix Representation

Decimal 28058500
Binary 1101011000010001110000100 (25 bits)
Octal 0o153021604
Hexadecimal 0x1AC2384

Divisor Catalog (48)

1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1,700 2,125 3,301 4,250 6,602 8,500 13,204 16,505 33,010 56,117 66,020 82,525 112,234 165,050 224,468 280,585 330,100 412,625 561,170 825,250 1,122,340 1,402,925 1,650,500 2,805,850 5,611,700 7,014,625 14,029,250 28,058,500

Collatz Trajectory (193 steps to reach 1)

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

28,058,500 14,029,250 7,014,625 21,043,876 10,521,938 5,260,969 15,782,908 7,891,454 3,945,727 11,837,182 5,918,591 17,755,774 8,877,887 26,633,662 13,316,831 39,950,494 19,975,247 59,925,742 29,962,871 89,888,614 44,944,307 134,832,922 67,416,461 202,249,384 101,124,692 50,562,346 25,281,173 75,843,520 37,921,760 18,960,880 9,480,440 4,740,220 2,370,110 1,185,055 3,555,166 1,777,583 5,332,750 2,666,375 7,999,126 3,999,563 11,998,690 5,999,345 17,998,036 8,999,018 4,499,509 13,498,528 6,749,264 3,374,632 1,687,316 843,658 421,829 1,265,488 632,744 316,372 158,186 79,093 237,280 118,640 59,320 29,660

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