λ
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Atlas › Integer Profiles › Node 51,138,288

51,138,288

24 × 32 × 355127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 355127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 143,116,584
Proper Divisor Sum 91,978,296
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #51138287 ← → #51138293

Radix Representation

Decimal 51138288
Binary 11000011000100111011110000 (26 bits)
Octal 0o303047360
Hexadecimal 0x30C4EF0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 355,127 710,254 1,065,381 1,420,508 2,130,762 2,841,016 3,196,143 4,261,524 5,682,032 6,392,286 8,523,048 12,784,572 17,046,096 25,569,144 51,138,288

Collatz Trajectory (380 steps to reach 1)

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

51,138,288 25,569,144 12,784,572 6,392,286 3,196,143 9,588,430 4,794,215 14,382,646 7,191,323 21,573,970 10,786,985 32,360,956 16,180,478 8,090,239 24,270,718 12,135,359 36,406,078 18,203,039 54,609,118 27,304,559 81,913,678 40,956,839 122,870,518 61,435,259 184,305,778 92,152,889 276,458,668 138,229,334 69,114,667 207,344,002 103,672,001 311,016,004 155,508,002 77,754,001 233,262,004 116,631,002 58,315,501 174,946,504 87,473,252 43,736,626 21,868,313 65,604,940 32,802,470 16,401,235 49,203,706 24,601,853 73,805,560 36,902,780 18,451,390 9,225,695 27,677,086 13,838,543 41,515,630 20,757,815 62,273,446 31,136,723 93,410,170 46,705,085 140,115,256 70,057,628

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