4,127,006

2 × 13 × 158731

For 4,127,006, the 8 positive divisors have a total of 6,666,744. Removing 4,127,006 leaves 2,539,738, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 158731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,666,744

Proper Divisor Sum 2,539,738

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4127003 ← → #4127021

Radix Representation

Decimal	4127006
Binary	1111101111100100011110 (22 bits)
Octal	0o17574436
Hexadecimal	0x3EF91E

Divisor Catalog (8)

1 2 13 26 158,731 317,462 2,063,503 4,127,006

Collatz Trajectory (167 steps to reach 1)

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

4,127,006 2,063,503 6,190,510 3,095,255 9,285,766 4,642,883 13,928,650 6,964,325 20,892,976 10,446,488 5,223,244 2,611,622 1,305,811 3,917,434 1,958,717 5,876,152 2,938,076 1,469,038 734,519 2,203,558 1,101,779 3,305,338 1,652,669 4,958,008 2,479,004 1,239,502 619,751 1,859,254 929,627 2,788,882 1,394,441 4,183,324 2,091,662 1,045,831 3,137,494 1,568,747 4,706,242 2,353,121 7,059,364 3,529,682 1,764,841 5,294,524 2,647,262 1,323,631 3,970,894 1,985,447 5,956,342 2,978,171 8,934,514 4,467,257 13,401,772 6,700,886 3,350,443 10,051,330 5,025,665 15,076,996 7,538,498 3,769,249 11,307,748 5,653,874

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