λ
Harmonic Matrix

4,401,776

24 × 17 × 16183
Abundant Even Composite

4,401,776 has digital root 2. The neighboring primes are 4401767 and 4401791; its proper-divisor sum differs from the starting integer by 227,120.

Prime Factor Structure

Factorization String 2^4 × 17 × 16183
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,030,672
Proper Divisor Sum 4,628,896
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4401767 ← → #4401791

Radix Representation

Decimal 4401776
Binary 10000110010101001110000 (23 bits)
Octal 0o20625160
Hexadecimal 0x432A70

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 16,183 32,366 64,732 129,464 258,928 275,111 550,222 1,100,444 2,200,888 4,401,776

Collatz Trajectory (211 steps to reach 1)

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

4,401,776 2,200,888 1,100,444 550,222 275,111 825,334 412,667 1,238,002 619,001 1,857,004 928,502 464,251 1,392,754 696,377 2,089,132 1,044,566 522,283 1,566,850 783,425 2,350,276 1,175,138 587,569 1,762,708 881,354 440,677 1,322,032 661,016 330,508 165,254 82,627 247,882 123,941 371,824 185,912 92,956 46,478 23,239 69,718 34,859 104,578 52,289 156,868 78,434 39,217 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654

More profiles

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