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54,565

5 × 7 × 1559
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 1559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 74,880
Proper Divisor Sum 20,315
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #54563 ← → #54577

Radix Representation

Decimal 54565
Binary 1101010100100101 (16 bits)
Octal 0o152445
Hexadecimal 0xD525

Divisor Catalog (8)

1 5 7 35 1,559 7,795 10,913 54,565

Collatz Trajectory (65 steps to reach 1)

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

54,565 163,696 81,848 40,924 20,462 10,231 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

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