55,200,052

2² × 13800013

55,200,052 factors as 2^2 × 13800013. Its 6 positive divisors give a proper-divisor sum of 41,400,046, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 13800013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 96,600,098

Proper Divisor Sum 41,400,046

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #55200011 ← → #55200053

Radix Representation

Decimal	55200052
Binary	11010010100100100100110100 (26 bits)
Octal	0o322444464
Hexadecimal	0x34A4934

Divisor Catalog (6)

1 2 4 13,800,013 27,600,026 55,200,052

Collatz Trajectory (194 steps to reach 1)

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

55,200,052 27,600,026 13,800,013 41,400,040 20,700,020 10,350,010 5,175,005 15,525,016 7,762,508 3,881,254 1,940,627 5,821,882 2,910,941 8,732,824 4,366,412 2,183,206 1,091,603 3,274,810 1,637,405 4,912,216 2,456,108 1,228,054 614,027 1,842,082 921,041 2,763,124 1,381,562 690,781 2,072,344 1,036,172 518,086 259,043 777,130 388,565 1,165,696 582,848 291,424 145,712 72,856 36,428 18,214 9,107 27,322 13,661 40,984 20,492 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

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