λ
Ratio Atlas

9,917,855

5 × 29 × 68399
Deficient Odd Composite

9,917,855 factors as 5 × 29 × 68399. Its 8 positive divisors give a proper-divisor sum of 2,394,145, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 5 × 29 × 68399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,312,000
Proper Divisor Sum 2,394,145
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9917849 ← → #9917881

Radix Representation

Decimal 9917855
Binary 100101110101010110011111 (24 bits)
Octal 0o45652637
Hexadecimal 0x97559F

Divisor Catalog (8)

Collatz Trajectory (145 steps to reach 1)

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

9,917,855 29,753,566 14,876,783 44,630,350 22,315,175 66,945,526 33,472,763 100,418,290 50,209,145 150,627,436 75,313,718 37,656,859 112,970,578 56,485,289 169,455,868 84,727,934 42,363,967 127,091,902 63,545,951 190,637,854 95,318,927 285,956,782 142,978,391 428,935,174 214,467,587 643,402,762 321,701,381 965,104,144 482,552,072 241,276,036 120,638,018 60,319,009 180,957,028 90,478,514 45,239,257 135,717,772 67,858,886 33,929,443 101,788,330 50,894,165 152,682,496 76,341,248 38,170,624 19,085,312 9,542,656 4,771,328 2,385,664 1,192,832 596,416 298,208 149,104 74,552 37,276 18,638 9,319 27,958 13,979 41,938 20,969 62,908

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