λ
Match Zalai

9,988,735

5 × 1997747
Deficient Odd Composite

9,988,735 factors as 5 × 1997747. Its 4 positive divisors give a proper-divisor sum of 1,997,753, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 5 × 1997747
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,986,488
Proper Divisor Sum 1,997,753
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9988733 ← → #9988747

Radix Representation

Decimal 9988735
Binary 100110000110101001111111 (24 bits)
Octal 0o46065177
Hexadecimal 0x986A7F

Divisor Catalog (4)

1 5 1,997,747 9,988,735

Collatz Trajectory (207 steps to reach 1)

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

9,988,735 29,966,206 14,983,103 44,949,310 22,474,655 67,423,966 33,711,983 101,135,950 50,567,975 151,703,926 75,851,963 227,555,890 113,777,945 341,333,836 170,666,918 85,333,459 256,000,378 128,000,189 384,000,568 192,000,284 96,000,142 48,000,071 144,000,214 72,000,107 216,000,322 108,000,161 324,000,484 162,000,242 81,000,121 243,000,364 121,500,182 60,750,091 182,250,274 91,125,137 273,375,412 136,687,706 68,343,853 205,031,560 102,515,780 51,257,890 25,628,945 76,886,836 38,443,418 19,221,709 57,665,128 28,832,564 14,416,282 7,208,141 21,624,424 10,812,212 5,406,106 2,703,053 8,109,160 4,054,580 2,027,290 1,013,645 3,040,936 1,520,468 760,234 380,117

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