λ
Harmonic Matrix

2,041,445

5 × 7 × 17 × 47 × 73
Deficient Odd Composite

2,041,445 has digital root 2. The neighboring primes are 2041433 and 2041447; its proper-divisor sum differs from the starting integer by -1,013,962.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 47 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,068,928
Proper Divisor Sum 1,027,483
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2041433 ← → #2041447

Radix Representation

Decimal 2041445
Binary 111110010011001100101 (21 bits)
Octal 0o7623145
Hexadecimal 0x1F2665

Divisor Catalog (32)

1 5 7 17 35 47 73 85 119 235 329 365 511 595 799 1,241 1,645 2,555 3,431 3,995 5,593 6,205 8,687 17,155 24,017 27,965 43,435 58,327 120,085 291,635 408,289 2,041,445

Collatz Trajectory (153 steps to reach 1)

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

2,041,445 6,124,336 3,062,168 1,531,084 765,542 382,771 1,148,314 574,157 1,722,472 861,236 430,618 215,309 645,928 322,964 161,482 80,741 242,224 121,112 60,556 30,278 15,139 45,418 22,709 68,128 34,064 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

More profiles

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