λ
Harmonic Matrix

2,821,094

2 × 601 × 2347
Deficient Even Composite

2,821,094 has digital root 8. The neighboring primes are 2821079 and 2821097; its proper-divisor sum differs from the starting integer by -1,401,700.

Prime Factor Structure

Factorization String 2 × 601 × 2347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,240,488
Proper Divisor Sum 1,419,394
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2821079 ← → #2821097

Radix Representation

Decimal 2821094
Binary 1010110000101111100110 (22 bits)
Octal 0o12605746
Hexadecimal 0x2B0BE6

Divisor Catalog (8)

1 2 601 1,202 2,347 4,694 1,410,547 2,821,094

Collatz Trajectory (200 steps to reach 1)

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

2,821,094 1,410,547 4,231,642 2,115,821 6,347,464 3,173,732 1,586,866 793,433 2,380,300 1,190,150 595,075 1,785,226 892,613 2,677,840 1,338,920 669,460 334,730 167,365 502,096 251,048 125,524 62,762 31,381 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906

More profiles

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