54,576,150

2 × 3 × 5² × 363841

54,576,150 factors as 2 × 3 × 5^2 × 363841. Its 24 positive divisors give a proper-divisor sum of 80,773,074, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 363841

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 135,349,224

Proper Divisor Sum 80,773,074

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #54576143 ← → #54576157

Radix Representation

Decimal	54576150
Binary	11010000001100010000010110 (26 bits)
Octal	0o320142026
Hexadecimal	0x340C416

Divisor Catalog (24)

Collatz Trajectory (119 steps to reach 1)

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

54,576,150 27,288,075 81,864,226 40,932,113 122,796,340 61,398,170 30,699,085 92,097,256 46,048,628 23,024,314 11,512,157 34,536,472 17,268,236 8,634,118 4,317,059 12,951,178 6,475,589 19,426,768 9,713,384 4,856,692 2,428,346 1,214,173 3,642,520 1,821,260 910,630 455,315 1,365,946 682,973 2,048,920 1,024,460 512,230 256,115 768,346 384,173 1,152,520 576,260 288,130 144,065 432,196 216,098 108,049 324,148 162,074 81,037 243,112 121,556 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603

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