λ
Harmonic Matrix

8,744,006

2 × 4372003
Deficient Even Composite

8,744,006 has digital root 2. The neighboring primes are 8744003 and 8744023; its proper-divisor sum differs from the starting integer by -4,372,000.

Prime Factor Structure

Factorization String 2 × 4372003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,116,012
Proper Divisor Sum 4,372,006
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8744003 ← → #8744023

Radix Representation

Decimal 8744006
Binary 100001010110110001000110 (24 bits)
Octal 0o41266106
Hexadecimal 0x856C46

Divisor Catalog (4)

1 2 4,372,003 8,744,006

Collatz Trajectory (274 steps to reach 1)

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

8,744,006 4,372,003 13,116,010 6,558,005 19,674,016 9,837,008 4,918,504 2,459,252 1,229,626 614,813 1,844,440 922,220 461,110 230,555 691,666 345,833 1,037,500 518,750 259,375 778,126 389,063 1,167,190 583,595 1,750,786 875,393 2,626,180 1,313,090 656,545 1,969,636 984,818 492,409 1,477,228 738,614 369,307 1,107,922 553,961 1,661,884 830,942 415,471 1,246,414 623,207 1,869,622 934,811 2,804,434 1,402,217 4,206,652 2,103,326 1,051,663 3,154,990 1,577,495 4,732,486 2,366,243 7,098,730 3,549,365 10,648,096 5,324,048 2,662,024 1,331,012 665,506 332,753

More profiles

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