λ
Harmonic Matrix

4,399,239

3 × 132 × 8677
Deficient Odd Composite

4,399,239 has digital root 3. The neighboring primes are 4399237 and 4399289; its proper-divisor sum differs from the starting integer by -2,446,182.

Prime Factor Structure

Factorization String 3 × 13^2 × 8677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,352,296
Proper Divisor Sum 1,953,057
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4399237 ← → #4399289

Radix Representation

Decimal 4399239
Binary 10000110010000010000111 (23 bits)
Octal 0o20620207
Hexadecimal 0x432087

Divisor Catalog (12)

1 3 13 39 169 507 8,677 26,031 112,801 338,403 1,466,413 4,399,239

Collatz Trajectory (180 steps to reach 1)

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

4,399,239 13,197,718 6,598,859 19,796,578 9,898,289 29,694,868 14,847,434 7,423,717 22,271,152 11,135,576 5,567,788 2,783,894 1,391,947 4,175,842 2,087,921 6,263,764 3,131,882 1,565,941 4,697,824 2,348,912 1,174,456 587,228 293,614 146,807 440,422 220,211 660,634 330,317 990,952 495,476 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776

More profiles

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