λ
Ratio Atlas

17,527,235

5 × 11 × 318677
Deficient Odd Composite

17,527,235 factors as 5 × 11 × 318677. Its 8 positive divisors give a proper-divisor sum of 5,417,581, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 5 × 11 × 318677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 22,944,816
Proper Divisor Sum 5,417,581
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17527231 ← → #17527241

Radix Representation

Decimal 17527235
Binary 1000010110111000111000011 (25 bits)
Octal 0o102670703
Hexadecimal 0x10B71C3

Divisor Catalog (8)

Collatz Trajectory (151 steps to reach 1)

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

17,527,235 52,581,706 26,290,853 78,872,560 39,436,280 19,718,140 9,859,070 4,929,535 14,788,606 7,394,303 22,182,910 11,091,455 33,274,366 16,637,183 49,911,550 24,955,775 74,867,326 37,433,663 112,300,990 56,150,495 168,451,486 84,225,743 252,677,230 126,338,615 379,015,846 189,507,923 568,523,770 284,261,885 852,785,656 426,392,828 213,196,414 106,598,207 319,794,622 159,897,311 479,691,934 239,845,967 719,537,902 359,768,951 1,079,306,854 539,653,427 1,618,960,282 809,480,141 2,428,440,424 1,214,220,212 607,110,106 303,555,053 910,665,160 455,332,580 227,666,290 113,833,145 341,499,436 170,749,718 85,374,859 256,124,578 128,062,289 384,186,868 192,093,434 96,046,717 288,140,152 144,070,076

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