λ
Prime Ledger

8,432,901

32 × 17 × 55117
Deficient Odd Composite

8,432,901 has the prime decomposition 3^2 × 17 × 55117. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 55117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,897,612
Proper Divisor Sum 4,464,711
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8432873 ← → #8432909

Radix Representation

Decimal 8432901
Binary 100000001010110100000101 (24 bits)
Octal 0o40126405
Hexadecimal 0x80AD05

Divisor Catalog (12)

1 3 9 17 51 153 55,117 165,351 496,053 936,989 2,810,967 8,432,901

Collatz Trajectory (155 steps to reach 1)

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

8,432,901 25,298,704 12,649,352 6,324,676 3,162,338 1,581,169 4,743,508 2,371,754 1,185,877 3,557,632 1,778,816 889,408 444,704 222,352 111,176 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487

More profiles

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