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Atlas › Integer Profiles › Node 17,869,720

17,869,720

23 × 5 × 11 × 17 × 2389
Abundant Even Composite

17,869,720 factors as 2^3 × 5 × 11 × 17 × 2389. Its 64 positive divisors give a proper-divisor sum of 28,591,880, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17 × 2389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 46,461,600
Proper Divisor Sum 28,591,880
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17869699 ← → #17869741

Radix Representation

Decimal 17869720
Binary 1000100001010101110011000 (25 bits)
Octal 0o104125630
Hexadecimal 0x110AB98

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1,496 1,870 2,389 3,740 4,778 7,480 9,556 11,945 19,112 23,890 26,279 40,613 47,780 52,558 81,226 95,560 105,116 131,395 162,452 203,065 210,232 262,790 324,904 406,130 446,743 525,580 812,260 893,486 1,051,160 1,624,520 1,786,972 2,233,715

Collatz Trajectory (120 steps to reach 1)

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

17,869,720 8,934,860 4,467,430 2,233,715 6,701,146 3,350,573 10,051,720 5,025,860 2,512,930 1,256,465 3,769,396 1,884,698 942,349 2,827,048 1,413,524 706,762 353,381 1,060,144 530,072 265,036 132,518 66,259 198,778 99,389 298,168 149,084 74,542 37,271 111,814 55,907 167,722 83,861 251,584 125,792 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899

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