λ
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5,612,760

23 × 33 × 5 × 5197
Abundant Even Composite

5,612,760 factors as 2^3 × 3^3 × 5 × 5197. Its 64 positive divisors give a proper-divisor sum of 13,100,040, so this integer is abundant. The Collatz stopping time is 351 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 5197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,712,800
Proper Divisor Sum 13,100,040
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5612749 ← → #5612801

Radix Representation

Decimal 5612760
Binary 10101011010010011011000 (23 bits)
Octal 0o25322330
Hexadecimal 0x55A4D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 5,197 10,394 15,591 20,788 25,985 31,182 41,576 46,773 51,970 62,364 77,955 93,546 103,940 124,728 140,319 155,910 187,092 207,880 233,865 280,638 311,820 374,184 467,730 561,276 623,640 701,595 935,460 1,122,552

Collatz Trajectory (351 steps to reach 1)

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

5,612,760 2,806,380 1,403,190 701,595 2,104,786 1,052,393 3,157,180 1,578,590 789,295 2,367,886 1,183,943 3,551,830 1,775,915 5,327,746 2,663,873 7,991,620 3,995,810 1,997,905 5,993,716 2,996,858 1,498,429 4,495,288 2,247,644 1,123,822 561,911 1,685,734 842,867 2,528,602 1,264,301 3,792,904 1,896,452 948,226 474,113 1,422,340 711,170 355,585 1,066,756 533,378 266,689 800,068 400,034 200,017 600,052 300,026 150,013 450,040 225,020 112,510 56,255 168,766 84,383 253,150 126,575 379,726 189,863 569,590 284,795 854,386 427,193 1,281,580

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