53,248,936

2³ × 13 × 512009

53,248,936 factors as 2^3 × 13 × 512009. Its 16 positive divisors give a proper-divisor sum of 54,273,164, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 512009

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 107,522,100

Proper Divisor Sum 54,273,164

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #53248931 ← → #53248939

Radix Representation

Decimal	53248936
Binary	11001011001000001110101000 (26 bits)
Octal	0o313101650
Hexadecimal	0x32C83A8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 512,009 1,024,018 2,048,036 4,096,072 6,656,117 13,312,234 26,624,468 53,248,936

Collatz Trajectory (137 steps to reach 1)

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

53,248,936 26,624,468 13,312,234 6,656,117 19,968,352 9,984,176 4,992,088 2,496,044 1,248,022 624,011 1,872,034 936,017 2,808,052 1,404,026 702,013 2,106,040 1,053,020 526,510 263,255 789,766 394,883 1,184,650 592,325 1,776,976 888,488 444,244 222,122 111,061 333,184 166,592 83,296 41,648 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263

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