λ
Prime Ledger

828,645

3 × 5 × 55243
Deficient Odd Composite

828,645 has the prime decomposition 3 × 5 × 55243. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 55243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,325,856
Proper Divisor Sum 497,211
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #828643 ← → #828649

Radix Representation

Decimal 828645
Binary 11001010010011100101 (20 bits)
Octal 0o3122345
Hexadecimal 0xCA4E5

Divisor Catalog (8)

1 3 5 15 55,243 165,729 276,215 828,645

Collatz Trajectory (69 steps to reach 1)

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

828,645 2,485,936 1,242,968 621,484 310,742 155,371 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448 221,224 110,612 55,306 27,653 82,960 41,480 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26

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