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Atlas › Integer Profiles › Node 51,142,256

51,142,256

24 × 11 × 17 × 17093
Abundant Even Composite

51,142,256 factors as 2^4 × 11 × 17 × 17093. Its 40 positive divisors give a proper-divisor sum of 63,319,168, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 17093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 114,461,424
Proper Divisor Sum 63,319,168
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #51142241 ← → #51142277

Radix Representation

Decimal 51142256
Binary 11000011000101111001110000 (26 bits)
Octal 0o303057160
Hexadecimal 0x30C5E70

Divisor Catalog (40)

1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1,496 2,992 17,093 34,186 68,372 136,744 188,023 273,488 290,581 376,046 581,162 752,092 1,162,324 1,504,184 2,324,648 3,008,368 3,196,391 4,649,296 6,392,782 12,785,564 25,571,128 51,142,256

Collatz Trajectory (98 steps to reach 1)

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

51,142,256 25,571,128 12,785,564 6,392,782 3,196,391 9,589,174 4,794,587 14,383,762 7,191,881 21,575,644 10,787,822 5,393,911 16,181,734 8,090,867 24,272,602 12,136,301 36,408,904 18,204,452 9,102,226 4,551,113 13,653,340 6,826,670 3,413,335 10,240,006 5,120,003 15,360,010 7,680,005 23,040,016 11,520,008 5,760,004 2,880,002 1,440,001 4,320,004 2,160,002 1,080,001 3,240,004 1,620,002 810,001 2,430,004 1,215,002 607,501 1,822,504 911,252 455,626 227,813 683,440 341,720 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166 72,083 216,250 108,125 324,376

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