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Atlas › Integer Profiles › Node 57,748,488

57,748,488

23 × 3 × 7 × 263 × 1307
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 263 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 165,749,760
Proper Divisor Sum 108,001,272
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #57748487 ← → #57748513

Radix Representation

Decimal 57748488
Binary 11011100010010110000001000 (26 bits)
Octal 0o334226010
Hexadecimal 0x3712C08

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 263 526 789 1,052 1,307 1,578 1,841 2,104 2,614 3,156 3,682 3,921 5,228 5,523 6,312 7,364 7,842 9,149 10,456 11,046 14,728 15,684 18,298 22,092 27,447 31,368 36,596 44,184 54,894 73,192 109,788 219,576 343,741 687,482 1,031,223 1,374,964 2,062,446 2,406,187 2,749,928 4,124,892 4,812,374 7,218,561 8,249,784 9,624,748

Collatz Trajectory (132 steps to reach 1)

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

57,748,488 28,874,244 14,437,122 7,218,561 21,655,684 10,827,842 5,413,921 16,241,764 8,120,882 4,060,441 12,181,324 6,090,662 3,045,331 9,135,994 4,567,997 13,703,992 6,851,996 3,425,998 1,712,999 5,138,998 2,569,499 7,708,498 3,854,249 11,562,748 5,781,374 2,890,687 8,672,062 4,336,031 13,008,094 6,504,047 19,512,142 9,756,071 29,268,214 14,634,107 43,902,322 21,951,161 65,853,484 32,926,742 16,463,371 49,390,114 24,695,057 74,085,172 37,042,586 18,521,293 55,563,880 27,781,940 13,890,970 6,945,485 20,836,456 10,418,228 5,209,114 2,604,557 7,813,672 3,906,836 1,953,418 976,709 2,930,128 1,465,064 732,532 366,266

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