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Atlas › Integer Profiles › Node 17,247,272

17,247,272

23 × 7 × 73 × 4219
Abundant Even Composite

17,247,272 factors as 2^3 × 7 × 73 × 4219. Its 32 positive divisors give a proper-divisor sum of 20,226,328, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 4219
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,473,600
Proper Divisor Sum 20,226,328
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17247271 ← → #17247281

Radix Representation

Decimal 17247272
Binary 1000001110010110000101000 (25 bits)
Octal 0o101626050
Hexadecimal 0x1072C28

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 584 1,022 2,044 4,088 4,219 8,438 16,876 29,533 33,752 59,066 118,132 236,264 307,987 615,974 1,231,948 2,155,909 2,463,896 4,311,818 8,623,636 17,247,272

Collatz Trajectory (182 steps to reach 1)

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

17,247,272 8,623,636 4,311,818 2,155,909 6,467,728 3,233,864 1,616,932 808,466 404,233 1,212,700 606,350 303,175 909,526 454,763 1,364,290 682,145 2,046,436 1,023,218 511,609 1,534,828 767,414 383,707 1,151,122 575,561 1,726,684 863,342 431,671 1,295,014 647,507 1,942,522 971,261 2,913,784 1,456,892 728,446 364,223 1,092,670 546,335 1,639,006 819,503 2,458,510 1,229,255 3,687,766 1,843,883 5,531,650 2,765,825 8,297,476 4,148,738 2,074,369 6,223,108 3,111,554 1,555,777 4,667,332 2,333,666 1,166,833 3,500,500 1,750,250 875,125 2,625,376 1,312,688 656,344

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