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Atlas › Integer Profiles › Node 51,242,004

51,242,004

22 × 33 × 11 × 43133
Abundant Even Composite

51,242,004 factors as 2^2 × 3^3 × 11 × 43133. Its 48 positive divisors give a proper-divisor sum of 93,688,236, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 43133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 144,930,240
Proper Divisor Sum 93,688,236
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #51241991 ← → #51242027

Radix Representation

Decimal 51242004
Binary 11000011011110010000010100 (26 bits)
Octal 0o303362024
Hexadecimal 0x30DE414

Divisor Catalog (48)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1,188 43,133 86,266 129,399 172,532 258,798 388,197 474,463 517,596 776,394 948,926 1,164,591 1,423,389 1,552,788 1,897,852 2,329,182 2,846,778 4,270,167 4,658,364 5,693,556 8,540,334 12,810,501 17,080,668 25,621,002 51,242,004

Collatz Trajectory (168 steps to reach 1)

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

51,242,004 25,621,002 12,810,501 38,431,504 19,215,752 9,607,876 4,803,938 2,401,969 7,205,908 3,602,954 1,801,477 5,404,432 2,702,216 1,351,108 675,554 337,777 1,013,332 506,666 253,333 760,000 380,000 190,000 95,000 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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