λ
Harmonic Matrix

2,001,655

5 × 400331
Deficient Odd Composite

2,001,655 has digital root 1. The neighboring primes are 2001653 and 2001673; its proper-divisor sum differs from the starting integer by -1,601,318.

Prime Factor Structure

Factorization String 5 × 400331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,401,992
Proper Divisor Sum 400,337
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2001653 ← → #2001673

Radix Representation

Decimal 2001655
Binary 111101000101011110111 (21 bits)
Octal 0o7505367
Hexadecimal 0x1E8AF7

Divisor Catalog (4)

1 5 400,331 2,001,655

Collatz Trajectory (96 steps to reach 1)

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

2,001,655 6,004,966 3,002,483 9,007,450 4,503,725 13,511,176 6,755,588 3,377,794 1,688,897 5,066,692 2,533,346 1,266,673 3,800,020 1,900,010 950,005 2,850,016 1,425,008 712,504 356,252 178,126 89,063 267,190 133,595 400,786 200,393 601,180 300,590 150,295 450,886 225,443 676,330 338,165 1,014,496 507,248 253,624 126,812 63,406 31,703 95,110 47,555 142,666 71,333 214,000 107,000 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180

More profiles

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