55,252

2² × 19 × 727

55,252 has the prime decomposition 2^2 × 19 × 727. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 101,920

Proper Divisor Sum 46,668

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #55249 ← → #55259

Radix Representation

Decimal	55252
Binary	1101011111010100 (16 bits)
Octal	0o153724
Hexadecimal	0xD7D4

Divisor Catalog (12)

1 2 4 19 38 76 727 1,454 2,908 13,813 27,626 55,252

Collatz Trajectory (47 steps to reach 1)

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

55,252 27,626 13,813 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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