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Atlas › Integer Profiles › Node 2,755,520

2,755,520

26 × 5 × 79 × 109
Abundant Even Composite

2,755,520 factors as 2^6 × 5 × 79 × 109. Its 56 positive divisors give a proper-divisor sum of 3,950,080, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 79 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,705,600
Proper Divisor Sum 3,950,080
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2755499 ← → #2755541

Radix Representation

Decimal 2755520
Binary 1010100000101111000000 (22 bits)
Octal 0o12405700
Hexadecimal 0x2A0BC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 79 80 109 158 160 218 316 320 395 436 545 632 790 872 1,090 1,264 1,580 1,744 2,180 2,528 3,160 3,488 4,360 5,056 6,320 6,976 8,611 8,720 12,640 17,222 17,440 25,280 34,444 34,880 43,055 68,888 86,110 137,776 172,220 275,552 344,440 551,104 688,880 1,377,760 2,755,520

Collatz Trajectory (200 steps to reach 1)

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

2,755,520 1,377,760 688,880 344,440 172,220 86,110 43,055 129,166 64,583 193,750 96,875 290,626 145,313 435,940 217,970 108,985 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974

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