λ
Harmonic Matrix

1,720,826

2 × 860413
Deficient Even Composite

1,720,826 has digital root 8. The neighboring primes are 1720799 and 1720843; its proper-divisor sum differs from the starting integer by -860,410.

Prime Factor Structure

Factorization String 2 × 860413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,581,242
Proper Divisor Sum 860,416
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1720799 ← → #1720843

Radix Representation

Decimal 1720826
Binary 110100100000111111010 (21 bits)
Octal 0o6440772
Hexadecimal 0x1A41FA

Divisor Catalog (4)

1 2 860,413 1,720,826

Collatz Trajectory (189 steps to reach 1)

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

1,720,826 860,413 2,581,240 1,290,620 645,310 322,655 967,966 483,983 1,451,950 725,975 2,177,926 1,088,963 3,266,890 1,633,445 4,900,336 2,450,168 1,225,084 612,542 306,271 918,814 459,407 1,378,222 689,111 2,067,334 1,033,667 3,101,002 1,550,501 4,651,504 2,325,752 1,162,876 581,438 290,719 872,158 436,079 1,308,238 654,119 1,962,358 981,179 2,943,538 1,471,769 4,415,308 2,207,654 1,103,827 3,311,482 1,655,741 4,967,224 2,483,612 1,241,806 620,903 1,862,710 931,355 2,794,066 1,397,033 4,191,100 2,095,550 1,047,775 3,143,326 1,571,663 4,714,990 2,357,495

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