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Atlas › Integer Profiles › Node 17,044,720

17,044,720

24 × 5 × 7 × 11 × 2767
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 2767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 49,425,408
Proper Divisor Sum 32,380,688
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17044717 ← → #17044723

Radix Representation

Decimal 17044720
Binary 1000001000001010011110000 (25 bits)
Octal 0o101012360
Hexadecimal 0x10414F0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1,232 1,540 2,767 3,080 5,534 6,160 11,068 13,835 19,369 22,136 27,670 30,437 38,738 44,272 55,340 60,874 77,476 96,845 110,680 121,748 152,185 154,952 193,690 213,059

Collatz Trajectory (244 steps to reach 1)

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

17,044,720 8,522,360 4,261,180 2,130,590 1,065,295 3,195,886 1,597,943 4,793,830 2,396,915 7,190,746 3,595,373 10,786,120 5,393,060 2,696,530 1,348,265 4,044,796 2,022,398 1,011,199 3,033,598 1,516,799 4,550,398 2,275,199 6,825,598 3,412,799 10,238,398 5,119,199 15,357,598 7,678,799 23,036,398 11,518,199 34,554,598 17,277,299 51,831,898 25,915,949 77,747,848 38,873,924 19,436,962 9,718,481 29,155,444 14,577,722 7,288,861 21,866,584 10,933,292 5,466,646 2,733,323 8,199,970 4,099,985 12,299,956 6,149,978 3,074,989 9,224,968 4,612,484 2,306,242 1,153,121 3,459,364 1,729,682 864,841 2,594,524 1,297,262 648,631

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