λ
Prime Ledger

48,565

5 × 11 × 883
Deficient Odd Composite

48,565 has the prime decomposition 5 × 11 × 883. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 63,648
Proper Divisor Sum 15,083
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #48563 ← → #48571

Radix Representation

Decimal 48565
Binary 1011110110110101 (16 bits)
Octal 0o136665
Hexadecimal 0xBDB5

Divisor Catalog (8)

1 5 11 55 883 4,415 9,713 48,565

Collatz Trajectory (158 steps to reach 1)

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

48,565 145,696 72,848 36,424 18,212 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

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