λ
Prime Ledger

55,092

22 × 3 × 4591
Abundant Even Composite

55,092 has the prime decomposition 2^2 × 3 × 4591. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 4591
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 128,576
Proper Divisor Sum 73,484
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #55079 ← → #55103

Radix Representation

Decimal 55092
Binary 1101011100110100 (16 bits)
Octal 0o153464
Hexadecimal 0xD734

Divisor Catalog (12)

1 2 3 4 6 12 4,591 9,182 13,773 18,364 27,546 55,092

Collatz Trajectory (60 steps to reach 1)

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

55,092 27,546 13,773 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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