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Atlas › Integer Profiles › Node 57,798,678

57,798,678

2 × 3 × 7 × 23 × 59833
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 59833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 137,857,536
Proper Divisor Sum 80,058,858
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #57798677 ← → #57798707

Radix Representation

Decimal 57798678
Binary 11011100011111000000010110 (26 bits)
Octal 0o334370026
Hexadecimal 0x371F016

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 59,833 119,666 179,499 358,998 418,831 837,662 1,256,493 1,376,159 2,512,986 2,752,318 4,128,477 8,256,954 9,633,113 19,266,226 28,899,339 57,798,678

Collatz Trajectory (207 steps to reach 1)

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

57,798,678 28,899,339 86,698,018 43,349,009 130,047,028 65,023,514 32,511,757 97,535,272 48,767,636 24,383,818 12,191,909 36,575,728 18,287,864 9,143,932 4,571,966 2,285,983 6,857,950 3,428,975 10,286,926 5,143,463 15,430,390 7,715,195 23,145,586 11,572,793 34,718,380 17,359,190 8,679,595 26,038,786 13,019,393 39,058,180 19,529,090 9,764,545 29,293,636 14,646,818 7,323,409 21,970,228 10,985,114 5,492,557 16,477,672 8,238,836 4,119,418 2,059,709 6,179,128 3,089,564 1,544,782 772,391 2,317,174 1,158,587 3,475,762 1,737,881 5,213,644 2,606,822 1,303,411 3,910,234 1,955,117 5,865,352 2,932,676 1,466,338 733,169 2,199,508

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