λ
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Atlas › Integer Profiles › Node 17,296,846

17,296,846

2 × 7 × 47 × 97 × 271
Deficient Even Composite

17,296,846 factors as 2 × 7 × 47 × 97 × 271. Its 32 positive divisors give a proper-divisor sum of 13,410,866, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 97 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,707,712
Proper Divisor Sum 13,410,866
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17296843 ← → #17296849

Radix Representation

Decimal 17296846
Binary 1000001111110110111001110 (25 bits)
Octal 0o101766716
Hexadecimal 0x107EDCE

Divisor Catalog (32)

1 2 7 14 47 94 97 194 271 329 542 658 679 1,358 1,897 3,794 4,559 9,118 12,737 25,474 26,287 31,913 52,574 63,826 89,159 178,318 184,009 368,018 1,235,489 2,470,978 8,648,423 17,296,846

Collatz Trajectory (213 steps to reach 1)

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

17,296,846 8,648,423 25,945,270 12,972,635 38,917,906 19,458,953 58,376,860 29,188,430 14,594,215 43,782,646 21,891,323 65,673,970 32,836,985 98,510,956 49,255,478 24,627,739 73,883,218 36,941,609 110,824,828 55,412,414 27,706,207 83,118,622 41,559,311 124,677,934 62,338,967 187,016,902 93,508,451 280,525,354 140,262,677 420,788,032 210,394,016 105,197,008 52,598,504 26,299,252 13,149,626 6,574,813 19,724,440 9,862,220 4,931,110 2,465,555 7,396,666 3,698,333 11,095,000 5,547,500 2,773,750 1,386,875 4,160,626 2,080,313 6,240,940 3,120,470 1,560,235 4,680,706 2,340,353 7,021,060 3,510,530 1,755,265 5,265,796 2,632,898 1,316,449 3,949,348

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