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Atlas › Integer Profiles › Node 51,180,462

51,180,462

2 × 32 × 47 × 60497
Abundant Even Composite

51,180,462 factors as 2 × 3^2 × 47 × 60497. Its 24 positive divisors give a proper-divisor sum of 62,071,794, so this integer is abundant. The Collatz stopping time is 424 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 60497
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,252,256
Proper Divisor Sum 62,071,794
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51180461 ← → #51180463

Radix Representation

Decimal 51180462
Binary 11000011001111001110101110 (26 bits)
Octal 0o303171656
Hexadecimal 0x30CF3AE

Divisor Catalog (24)

1 2 3 6 9 18 47 94 141 282 423 846 60,497 120,994 181,491 362,982 544,473 1,088,946 2,843,359 5,686,718 8,530,077 17,060,154 25,590,231 51,180,462

Collatz Trajectory (424 steps to reach 1)

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

51,180,462 25,590,231 76,770,694 38,385,347 115,156,042 57,578,021 172,734,064 86,367,032 43,183,516 21,591,758 10,795,879 32,387,638 16,193,819 48,581,458 24,290,729 72,872,188 36,436,094 18,218,047 54,654,142 27,327,071 81,981,214 40,990,607 122,971,822 61,485,911 184,457,734 92,228,867 276,686,602 138,343,301 415,029,904 207,514,952 103,757,476 51,878,738 25,939,369 77,818,108 38,909,054 19,454,527 58,363,582 29,181,791 87,545,374 43,772,687 131,318,062 65,659,031 196,977,094 98,488,547 295,465,642 147,732,821 443,198,464 221,599,232 110,799,616 55,399,808 27,699,904 13,849,952 6,924,976 3,462,488 1,731,244 865,622 432,811 1,298,434 649,217 1,947,652

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