λ
Ratio Atlas

31,555,007

11 × 163 × 17599
Deficient Odd Composite

31,555,007 factors as 11 × 163 × 17599. Its 8 positive divisors give a proper-divisor sum of 3,081,793, so this integer is deficient. The Collatz stopping time is 338 steps.

Prime Factor Structure

Factorization String 11 × 163 × 17599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 34,636,800
Proper Divisor Sum 3,081,793
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31554961 ← → #31555019

Radix Representation

Decimal 31555007
Binary 1111000010111110110111111 (25 bits)
Octal 0o170276677
Hexadecimal 0x1E17DBF

Divisor Catalog (8)

Collatz Trajectory (338 steps to reach 1)

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

31,555,007 94,665,022 47,332,511 141,997,534 70,998,767 212,996,302 106,498,151 319,494,454 159,747,227 479,241,682 239,620,841 718,862,524 359,431,262 179,715,631 539,146,894 269,573,447 808,720,342 404,360,171 1,213,080,514 606,540,257 1,819,620,772 909,810,386 454,905,193 1,364,715,580 682,357,790 341,178,895 1,023,536,686 511,768,343 1,535,305,030 767,652,515 2,302,957,546 1,151,478,773 3,454,436,320 1,727,218,160 863,609,080 431,804,540 215,902,270 107,951,135 323,853,406 161,926,703 485,780,110 242,890,055 728,670,166 364,335,083 1,093,005,250 546,502,625 1,639,507,876 819,753,938 409,876,969 1,229,630,908 614,815,454 307,407,727 922,223,182 461,111,591 1,383,334,774 691,667,387 2,075,002,162 1,037,501,081 3,112,503,244 1,556,251,622

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