λ
Harmonic Matrix

8,841,443

13 × 79 × 8609
Deficient Odd Composite

8,841,443 has digital root 5. The neighboring primes are 8841431 and 8841449; its proper-divisor sum differs from the starting integer by -8,039,686.

Prime Factor Structure

Factorization String 13 × 79 × 8609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,643,200
Proper Divisor Sum 801,757
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8841431 ← → #8841449

Radix Representation

Decimal 8841443
Binary 100001101110100011100011 (24 bits)
Octal 0o41564343
Hexadecimal 0x86E8E3

Divisor Catalog (8)

1 13 79 1,027 8,609 111,917 680,111 8,841,443

Collatz Trajectory (62 steps to reach 1)

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

8,841,443 26,524,330 13,262,165 39,786,496 19,893,248 9,946,624 4,973,312 2,486,656 1,243,328 621,664 310,832 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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