λ
Prime Ledger

9,773,271

33 × 361973
Deficient Odd Composite

9,773,271 has the prime decomposition 3^3 × 361973. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 361973
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,478,960
Proper Divisor Sum 4,705,689
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9773263 ← → #9773287

Radix Representation

Decimal 9773271
Binary 100101010010000011010111 (24 bits)
Octal 0o45220327
Hexadecimal 0x9520D7

Divisor Catalog (8)

1 3 9 27 361,973 1,085,919 3,257,757 9,773,271

Collatz Trajectory (176 steps to reach 1)

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

9,773,271 29,319,814 14,659,907 43,979,722 21,989,861 65,969,584 32,984,792 16,492,396 8,246,198 4,123,099 12,369,298 6,184,649 18,553,948 9,276,974 4,638,487 13,915,462 6,957,731 20,873,194 10,436,597 31,309,792 15,654,896 7,827,448 3,913,724 1,956,862 978,431 2,935,294 1,467,647 4,402,942 2,201,471 6,604,414 3,302,207 9,906,622 4,953,311 14,859,934 7,429,967 22,289,902 11,144,951 33,434,854 16,717,427 50,152,282 25,076,141 75,228,424 37,614,212 18,807,106 9,403,553 28,210,660 14,105,330 7,052,665 21,157,996 10,578,998 5,289,499 15,868,498 7,934,249 23,802,748 11,901,374 5,950,687 17,852,062 8,926,031 26,778,094 13,389,047

More profiles

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