λ
Harmonic Matrix

3,999,214

2 × 1999607
Deficient Even Composite

3,999,214 has digital root 1. The neighboring primes are 3999211 and 3999239; its proper-divisor sum differs from the starting integer by -1,999,604.

Prime Factor Structure

Factorization String 2 × 1999607
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,998,824
Proper Divisor Sum 1,999,610
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3999211 ← → #3999239

Radix Representation

Decimal 3999214
Binary 1111010000010111101110 (22 bits)
Octal 0o17202756
Hexadecimal 0x3D05EE

Divisor Catalog (4)

1 2 1,999,607 3,999,214

Collatz Trajectory (260 steps to reach 1)

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

3,999,214 1,999,607 5,998,822 2,999,411 8,998,234 4,499,117 13,497,352 6,748,676 3,374,338 1,687,169 5,061,508 2,530,754 1,265,377 3,796,132 1,898,066 949,033 2,847,100 1,423,550 711,775 2,135,326 1,067,663 3,202,990 1,601,495 4,804,486 2,402,243 7,206,730 3,603,365 10,810,096 5,405,048 2,702,524 1,351,262 675,631 2,026,894 1,013,447 3,040,342 1,520,171 4,560,514 2,280,257 6,840,772 3,420,386 1,710,193 5,130,580 2,565,290 1,282,645 3,847,936 1,923,968 961,984 480,992 240,496 120,248 60,124 30,062 15,031 45,094 22,547 67,642 33,821 101,464 50,732 25,366

More profiles

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