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Atlas › Integer Profiles › Node 5,875,110

5,875,110

2 × 32 × 5 × 29 × 2251
Abundant Even Composite

5,875,110 factors as 2 × 3^2 × 5 × 29 × 2251. Its 48 positive divisors give a proper-divisor sum of 9,933,930, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 2251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,809,040
Proper Divisor Sum 9,933,930
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5875109 ← → #5875117

Radix Representation

Decimal 5875110
Binary 10110011010010110100110 (23 bits)
Octal 0o26322646
Hexadecimal 0x59A5A6

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1,305 2,251 2,610 4,502 6,753 11,255 13,506 20,259 22,510 33,765 40,518 65,279 67,530 101,295 130,558 195,837 202,590 326,395 391,674 587,511 652,790 979,185 1,175,022 1,958,370 2,937,555 5,875,110

Collatz Trajectory (90 steps to reach 1)

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

5,875,110 2,937,555 8,812,666 4,406,333 13,219,000 6,609,500 3,304,750 1,652,375 4,957,126 2,478,563 7,435,690 3,717,845 11,153,536 5,576,768 2,788,384 1,394,192 697,096 348,548 174,274 87,137 261,412 130,706 65,353 196,060 98,030 49,015 147,046 73,523 220,570 110,285 330,856 165,428 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173

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