λ
Harmonic Matrix

4,086,006

2 × 3 × 681001
Abundant Even Composite

4,086,006 has digital root 6. The neighboring primes are 4085993 and 4086011; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 681001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,172,024
Proper Divisor Sum 4,086,018
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4085993 ← → #4086011

Radix Representation

Decimal 4086006
Binary 1111100101100011110110 (22 bits)
Octal 0o17454366
Hexadecimal 0x3E58F6

Divisor Catalog (8)

1 2 3 6 681,001 1,362,002 2,043,003 4,086,006

Collatz Trajectory (167 steps to reach 1)

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

4,086,006 2,043,003 6,129,010 3,064,505 9,193,516 4,596,758 2,298,379 6,895,138 3,447,569 10,342,708 5,171,354 2,585,677 7,757,032 3,878,516 1,939,258 969,629 2,908,888 1,454,444 727,222 363,611 1,090,834 545,417 1,636,252 818,126 409,063 1,227,190 613,595 1,840,786 920,393 2,761,180 1,380,590 690,295 2,070,886 1,035,443 3,106,330 1,553,165 4,659,496 2,329,748 1,164,874 582,437 1,747,312 873,656 436,828 218,414 109,207 327,622 163,811 491,434 245,717 737,152 368,576 184,288 92,144 46,072 23,036 11,518 5,759 17,278 8,639 25,918

More profiles

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