λ
Harmonic Matrix

2,078,041

72 × 42409
Deficient Odd Composite

2,078,041 has digital root 4. The neighboring primes are 2078009 and 2078051; its proper-divisor sum differs from the starting integer by -1,738,712.

Prime Factor Structure

Factorization String 7^2 × 42409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,417,370
Proper Divisor Sum 339,329
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2078009 ← → #2078051

Radix Representation

Decimal 2078041
Binary 111111011010101011001 (21 bits)
Octal 0o7732531
Hexadecimal 0x1FB559

Divisor Catalog (6)

1 7 49 42,409 296,863 2,078,041

Collatz Trajectory (166 steps to reach 1)

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

2,078,041 6,234,124 3,117,062 1,558,531 4,675,594 2,337,797 7,013,392 3,506,696 1,753,348 876,674 438,337 1,315,012 657,506 328,753 986,260 493,130 246,565 739,696 369,848 184,924 92,462 46,231 138,694 69,347 208,042 104,021 312,064 156,032 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62

More profiles

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