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Atlas › Integer Profiles › Node 44,348,560

44,348,560

24 × 5 × 83 × 6679
Abundant Even Composite

44,348,560 factors as 2^4 × 5 × 83 × 6679. Its 40 positive divisors give a proper-divisor sum of 60,019,760, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 83 × 6679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 104,368,320
Proper Divisor Sum 60,019,760
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #44348539 ← → #44348567

Radix Representation

Decimal 44348560
Binary 10101001001011010010010000 (26 bits)
Octal 0o251132220
Hexadecimal 0x2A4B490

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1,328 1,660 3,320 6,640 6,679 13,358 26,716 33,395 53,432 66,790 106,864 133,580 267,160 534,320 554,357 1,108,714 2,217,428 2,771,785 4,434,856 5,543,570 8,869,712 11,087,140 22,174,280 44,348,560

Collatz Trajectory (98 steps to reach 1)

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

44,348,560 22,174,280 11,087,140 5,543,570 2,771,785 8,315,356 4,157,678 2,078,839 6,236,518 3,118,259 9,354,778 4,677,389 14,032,168 7,016,084 3,508,042 1,754,021 5,262,064 2,631,032 1,315,516 657,758 328,879 986,638 493,319 1,479,958 739,979 2,219,938 1,109,969 3,329,908 1,664,954 832,477 2,497,432 1,248,716 624,358 312,179 936,538 468,269 1,404,808 702,404 351,202 175,601 526,804 263,402 131,701 395,104 197,552 98,776 49,388 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814

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