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Atlas › Integer Profiles › Node 51,180,264

51,180,264

23 × 32 × 710837
Abundant Even Composite

51,180,264 factors as 2^3 × 3^2 × 710837. Its 24 positive divisors give a proper-divisor sum of 87,433,146, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 710837
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 138,613,410
Proper Divisor Sum 87,433,146
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51180263 ← → #51180271

Radix Representation

Decimal 51180264
Binary 11000011001111001011101000 (26 bits)
Octal 0o303171350
Hexadecimal 0x30CF2E8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 710,837 1,421,674 2,132,511 2,843,348 4,265,022 5,686,696 6,397,533 8,530,044 12,795,066 17,060,088 25,590,132 51,180,264

Collatz Trajectory (98 steps to reach 1)

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

51,180,264 25,590,132 12,795,066 6,397,533 19,192,600 9,596,300 4,798,150 2,399,075 7,197,226 3,598,613 10,795,840 5,397,920 2,698,960 1,349,480 674,740 337,370 168,685 506,056 253,028 126,514 63,257 189,772 94,886 47,443 142,330 71,165 213,496 106,748 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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