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Atlas › Integer Profiles › Node 50,003,936

50,003,936

25 × 172 × 5407
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 17^2 × 5407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 104,596,128
Proper Divisor Sum 54,592,192
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50003929 ← → #50003939

Radix Representation

Decimal 50003936
Binary 10111110101111111111100000 (26 bits)
Octal 0o276577740
Hexadecimal 0x2FAFFE0

Divisor Catalog (36)

1 2 4 8 16 17 32 34 68 136 272 289 544 578 1,156 2,312 4,624 5,407 9,248 10,814 21,628 43,256 86,512 91,919 173,024 183,838 367,676 735,352 1,470,704 1,562,623 2,941,408 3,125,246 6,250,492 12,500,984 25,001,968 50,003,936

Collatz Trajectory (160 steps to reach 1)

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

50,003,936 25,001,968 12,500,984 6,250,492 3,125,246 1,562,623 4,687,870 2,343,935 7,031,806 3,515,903 10,547,710 5,273,855 15,821,566 7,910,783 23,732,350 11,866,175 35,598,526 17,799,263 53,397,790 26,698,895 80,096,686 40,048,343 120,145,030 60,072,515 180,217,546 90,108,773 270,326,320 135,163,160 67,581,580 33,790,790 16,895,395 50,686,186 25,343,093 76,029,280 38,014,640 19,007,320 9,503,660 4,751,830 2,375,915 7,127,746 3,563,873 10,691,620 5,345,810 2,672,905 8,018,716 4,009,358 2,004,679 6,014,038 3,007,019 9,021,058 4,510,529 13,531,588 6,765,794 3,382,897 10,148,692 5,074,346 2,537,173 7,611,520 3,805,760 1,902,880

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