55,361,800

2³ × 5² × 13 × 107 × 199

55,361,800 factors as 2^3 × 5^2 × 13 × 107 × 199. Its 96 positive divisors give a proper-divisor sum of 85,254,200, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 107 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 140,616,000

Proper Divisor Sum 85,254,200

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #55361773 ← → #55361807

Radix Representation

Decimal	55361800
Binary	11010011001100000100001000 (26 bits)
Octal	0o323140410
Hexadecimal	0x34CC108

Divisor Catalog (60 of 96)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 130 199 200 214 260 325 398 428 520 535 650 796 856 995 1,070 1,300 1,391 1,592 1,990 2,140 2,587 2,600 2,675 2,782 3,980 4,280 4,975 5,174 5,350 5,564 6,955 7,960 9,950 10,348 10,700 11,128 12,935 13,910 19,900 20,696 21,293 21,400 25,870

Collatz Trajectory (119 steps to reach 1)

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

55,361,800 27,680,900 13,840,450 6,920,225 20,760,676 10,380,338 5,190,169 15,570,508 7,785,254 3,892,627 11,677,882 5,838,941 17,516,824 8,758,412 4,379,206 2,189,603 6,568,810 3,284,405 9,853,216 4,926,608 2,463,304 1,231,652 615,826 307,913 923,740 461,870 230,935 692,806 346,403 1,039,210 519,605 1,558,816 779,408 389,704 194,852 97,426 48,713 146,140 73,070 36,535 109,606 54,803 164,410 82,205 246,616 123,308 61,654 30,827 92,482 46,241 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017 117,052 58,526

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