6,558,118

2 × 7 × 29² × 557

For 6,558,118, the 24 positive divisors have a total of 11,664,432. Removing 6,558,118 leaves 5,106,314, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 29^2 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,664,432

Proper Divisor Sum 5,106,314

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6558077 ← → #6558119

Radix Representation

Decimal	6558118
Binary	11001000001000110100110 (23 bits)
Octal	0o31010646
Hexadecimal	0x6411A6

Divisor Catalog (24)

1 2 7 14 29 58 203 406 557 841 1,114 1,682 3,899 5,887 7,798 11,774 16,153 32,306 113,071 226,142 468,437 936,874 3,279,059 6,558,118

Collatz Trajectory (178 steps to reach 1)

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

6,558,118 3,279,059 9,837,178 4,918,589 14,755,768 7,377,884 3,688,942 1,844,471 5,533,414 2,766,707 8,300,122 4,150,061 12,450,184 6,225,092 3,112,546 1,556,273 4,668,820 2,334,410 1,167,205 3,501,616 1,750,808 875,404 437,702 218,851 656,554 328,277 984,832 492,416 246,208 123,104 61,552 30,776 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193

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