λ
Ratio Atlas

8,733,051

32 × 163 × 5953
Deficient Odd Composite

8,733,051 factors as 3^2 × 163 × 5953. Its 12 positive divisors give a proper-divisor sum of 3,960,877, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3^2 × 163 × 5953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,693,928
Proper Divisor Sum 3,960,877
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8733047 ← → #8733059

Radix Representation

Decimal 8733051
Binary 100001010100000101111011 (24 bits)
Octal 0o41240573
Hexadecimal 0x85417B

Divisor Catalog (12)

1 3 9 163 489 1,467 5,953 17,859 53,577 970,339 2,911,017 8,733,051

Collatz Trajectory (199 steps to reach 1)

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

8,733,051 26,199,154 13,099,577 39,298,732 19,649,366 9,824,683 29,474,050 14,737,025 44,211,076 22,105,538 11,052,769 33,158,308 16,579,154 8,289,577 24,868,732 12,434,366 6,217,183 18,651,550 9,325,775 27,977,326 13,988,663 41,965,990 20,982,995 62,948,986 31,474,493 94,423,480 47,211,740 23,605,870 11,802,935 35,408,806 17,704,403 53,113,210 26,556,605 79,669,816 39,834,908 19,917,454 9,958,727 29,876,182 14,938,091 44,814,274 22,407,137 67,221,412 33,610,706 16,805,353 50,416,060 25,208,030 12,604,015 37,812,046 18,906,023 56,718,070 28,359,035 85,077,106 42,538,553 127,615,660 63,807,830 31,903,915 95,711,746 47,855,873 143,567,620 71,783,810

More profiles

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