λ
Ratio Atlas

17,219,911

31 × 37 × 15013
Deficient Odd Composite

17,219,911 factors as 31 × 37 × 15013. Its 8 positive divisors give a proper-divisor sum of 1,037,113, so this integer is deficient. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 31 × 37 × 15013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,257,024
Proper Divisor Sum 1,037,113
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17219887 ← → #17219933

Radix Representation

Decimal 17219911
Binary 1000001101100000101000111 (25 bits)
Octal 0o101540507
Hexadecimal 0x106C147

Divisor Catalog (8)

Collatz Trajectory (319 steps to reach 1)

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

17,219,911 51,659,734 25,829,867 77,489,602 38,744,801 116,234,404 58,117,202 29,058,601 87,175,804 43,587,902 21,793,951 65,381,854 32,690,927 98,072,782 49,036,391 147,109,174 73,554,587 220,663,762 110,331,881 330,995,644 165,497,822 82,748,911 248,246,734 124,123,367 372,370,102 186,185,051 558,555,154 279,277,577 837,832,732 418,916,366 209,458,183 628,374,550 314,187,275 942,561,826 471,280,913 1,413,842,740 706,921,370 353,460,685 1,060,382,056 530,191,028 265,095,514 132,547,757 397,643,272 198,821,636 99,410,818 49,705,409 149,116,228 74,558,114 37,279,057 111,837,172 55,918,586 27,959,293 83,877,880 41,938,940 20,969,470 10,484,735 31,454,206 15,727,103 47,181,310 23,590,655

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