51,180,272

2⁴ × 11 × 13 × 22369

51,180,272 factors as 2^4 × 11 × 13 × 22369. Its 40 positive divisors give a proper-divisor sum of 65,322,688, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 13 × 22369

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 116,502,960

Proper Divisor Sum 65,322,688

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #51180271 ← → #51180289

Radix Representation

Decimal	51180272
Binary	11000011001111001011110000 (26 bits)
Octal	0o303171360
Hexadecimal	0x30CF2F0

Divisor Catalog (40)

Collatz Trajectory (98 steps to reach 1)

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

51,180,272 25,590,136 12,795,068 6,397,534 3,198,767 9,596,302 4,798,151 14,394,454 7,197,227 21,591,682 10,795,841 32,387,524 16,193,762 8,096,881 24,290,644 12,145,322 6,072,661 18,217,984 9,108,992 4,554,496 2,277,248 1,138,624 569,312 284,656 142,328 71,164 35,582 17,791 53,374 26,687 80,062 40,031 120,094 60,047 180,142 90,071 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634

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