λ
Prime Ledger

6,055,104

26 × 3 × 11 × 47 × 61
Abundant Even Composite

6,055,104 has the prime decomposition 2^6 × 3 × 11 × 47 × 61. Its 5 distinct prime factors produce 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 47 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 18,141,696
Proper Divisor Sum 12,086,592
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6055103 ← → #6055109

Radix Representation

Decimal 6055104
Binary 10111000110010011000000 (23 bits)
Octal 0o27062300
Hexadecimal 0x5C64C0

Divisor Catalog (60 of 112)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 61 64 66 88 94 96 122 132 141 176 183 188 192 244 264 282 352 366 376 488 517 528 564 671 704 732 752 976 1,034 1,056 1,128 1,342 1,464 1,504 1,551 1,952 2,013 2,068 2,112 2,256 2,684 2,867 2,928 3,008

Collatz Trajectory (152 steps to reach 1)

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

6,055,104 3,027,552 1,513,776 756,888 378,444 189,222 94,611 283,834 141,917 425,752 212,876 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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