λ
Harmonic Matrix

3,999,867

3 × 1333289
Deficient Odd Composite

3,999,867 has digital root 6. The neighboring primes are 3999859 and 3999871; its proper-divisor sum differs from the starting integer by -2,666,574.

Prime Factor Structure

Factorization String 3 × 1333289
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,333,160
Proper Divisor Sum 1,333,293
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #3999859 ← → #3999871

Radix Representation

Decimal 3999867
Binary 1111010000100001111011 (22 bits)
Octal 0o17204173
Hexadecimal 0x3D087B

Divisor Catalog (4)

1 3 1,333,289 3,999,867

Collatz Trajectory (141 steps to reach 1)

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

3,999,867 11,999,602 5,999,801 17,999,404 8,999,702 4,499,851 13,499,554 6,749,777 20,249,332 10,124,666 5,062,333 15,187,000 7,593,500 3,796,750 1,898,375 5,695,126 2,847,563 8,542,690 4,271,345 12,814,036 6,407,018 3,203,509 9,610,528 4,805,264 2,402,632 1,201,316 600,658 300,329 900,988 450,494 225,247 675,742 337,871 1,013,614 506,807 1,520,422 760,211 2,280,634 1,140,317 3,420,952 1,710,476 855,238 427,619 1,282,858 641,429 1,924,288 962,144 481,072 240,536 120,268 60,134 30,067 90,202 45,101 135,304 67,652 33,826 16,913 50,740 25,370

More profiles

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