λ
Harmonic Matrix

1,788,387

3 × 157 × 3797
Deficient Odd Composite

1,788,387 has digital root 6. The neighboring primes are 1788377 and 1788433; its proper-divisor sum differs from the starting integer by -1,176,438.

Prime Factor Structure

Factorization String 3 × 157 × 3797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,400,336
Proper Divisor Sum 611,949
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1788377 ← → #1788433

Radix Representation

Decimal 1788387
Binary 110110100100111100011 (21 bits)
Octal 0o6644743
Hexadecimal 0x1B49E3

Divisor Catalog (8)

1 3 157 471 3,797 11,391 596,129 1,788,387

Collatz Trajectory (158 steps to reach 1)

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

1,788,387 5,365,162 2,682,581 8,047,744 4,023,872 2,011,936 1,005,968 502,984 251,492 125,746 62,873 188,620 94,310 47,155 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322

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