6,006,126

2 × 3 × 7² × 31 × 659

For 6,006,126, the 48 positive divisors have a total of 14,446,080. Removing 6,006,126 leaves 8,439,954, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 31 × 659

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,446,080

Proper Divisor Sum 8,439,954

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6006097 ← → #6006127

Radix Representation

Decimal	6006126
Binary	10110111010010101101110 (23 bits)
Octal	0o26722556
Hexadecimal	0x5BA56E

Divisor Catalog (48)

1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 659 1,302 1,318 1,519 1,977 3,038 3,954 4,557 4,613 9,114 9,226 13,839 20,429 27,678 32,291 40,858 61,287 64,582 96,873 122,574 143,003 193,746 286,006 429,009 858,018 1,001,021 2,002,042 3,003,063 6,006,126

Collatz Trajectory (90 steps to reach 1)

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

6,006,126 3,003,063 9,009,190 4,504,595 13,513,786 6,756,893 20,270,680 10,135,340 5,067,670 2,533,835 7,601,506 3,800,753 11,402,260 5,701,130 2,850,565 8,551,696 4,275,848 2,137,924 1,068,962 534,481 1,603,444 801,722 400,861 1,202,584 601,292 300,646 150,323 450,970 225,485 676,456 338,228 169,114 84,557 253,672 126,836 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352

← Previous Integer #6,006,125 Browse Full Index Next Integer #6,006,127 →