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Atlas › Integer Profiles › Node 17,220,160

17,220,160

26 × 5 × 53813
Abundant Even Composite

17,220,160 factors as 2^6 × 5 × 53813. Its 28 positive divisors give a proper-divisor sum of 23,786,108, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 53813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 41,006,268
Proper Divisor Sum 23,786,108
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #17220157 ← → #17220187

Radix Representation

Decimal 17220160
Binary 1000001101100001001000000 (25 bits)
Octal 0o101541100
Hexadecimal 0x106C240

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 53,813 107,626 215,252 269,065 430,504 538,130 861,008 1,076,260 1,722,016 2,152,520 3,444,032 4,305,040 8,610,080 17,220,160

Collatz Trajectory (244 steps to reach 1)

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

17,220,160 8,610,080 4,305,040 2,152,520 1,076,260 538,130 269,065 807,196 403,598 201,799 605,398 302,699 908,098 454,049 1,362,148 681,074 340,537 1,021,612 510,806 255,403 766,210 383,105 1,149,316 574,658 287,329 861,988 430,994 215,497 646,492 323,246 161,623 484,870 242,435 727,306 363,653 1,090,960 545,480 272,740 136,370 68,185 204,556 102,278 51,139 153,418 76,709 230,128 115,064 57,532 28,766 14,383 43,150 21,575 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228

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