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Atlas › Integer Profiles › Node 55,729,377

55,729,377

35 × 11 × 20849
Deficient Odd Composite

55,729,377 factors as 3^5 × 11 × 20849. Its 24 positive divisors give a proper-divisor sum of 35,343,423, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^5 × 11 × 20849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 91,072,800
Proper Divisor Sum 35,343,423
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #55729369 ← → #55729379

Radix Representation

Decimal 55729377
Binary 11010100100101110011100001 (26 bits)
Octal 0o324456341
Hexadecimal 0x3525CE1

Divisor Catalog (24)

1 3 9 11 27 33 81 99 243 297 891 2,673 20,849 62,547 187,641 229,339 562,923 688,017 1,688,769 2,064,051 5,066,307 6,192,153 18,576,459 55,729,377

Collatz Trajectory (163 steps to reach 1)

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

55,729,377 167,188,132 83,594,066 41,797,033 125,391,100 62,695,550 31,347,775 94,043,326 47,021,663 141,064,990 70,532,495 211,597,486 105,798,743 317,396,230 158,698,115 476,094,346 238,047,173 714,141,520 357,070,760 178,535,380 89,267,690 44,633,845 133,901,536 66,950,768 33,475,384 16,737,692 8,368,846 4,184,423 12,553,270 6,276,635 18,829,906 9,414,953 28,244,860 14,122,430 7,061,215 21,183,646 10,591,823 31,775,470 15,887,735 47,663,206 23,831,603 71,494,810 35,747,405 107,242,216 53,621,108 26,810,554 13,405,277 40,215,832 20,107,916 10,053,958 5,026,979 15,080,938 7,540,469 22,621,408 11,310,704 5,655,352 2,827,676 1,413,838 706,919 2,120,758

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