λ
Harmonic Matrix

1,990,491

3 × 61 × 73 × 149
Deficient Odd Composite

1,990,491 has digital root 6. The neighboring primes are 1990487 and 1990493; its proper-divisor sum differs from the starting integer by -1,228,182.

Prime Factor Structure

Factorization String 3 × 61 × 73 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,752,800
Proper Divisor Sum 762,309
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1990487 ← → #1990493

Radix Representation

Decimal 1990491
Binary 111100101111101011011 (21 bits)
Octal 0o7457533
Hexadecimal 0x1E5F5B

Divisor Catalog (16)

1 3 61 73 149 183 219 447 4,453 9,089 10,877 13,359 27,267 32,631 663,497 1,990,491

Collatz Trajectory (184 steps to reach 1)

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

1,990,491 5,971,474 2,985,737 8,957,212 4,478,606 2,239,303 6,717,910 3,358,955 10,076,866 5,038,433 15,115,300 7,557,650 3,778,825 11,336,476 5,668,238 2,834,119 8,502,358 4,251,179 12,753,538 6,376,769 19,130,308 9,565,154 4,782,577 14,347,732 7,173,866 3,586,933 10,760,800 5,380,400 2,690,200 1,345,100 672,550 336,275 1,008,826 504,413 1,513,240 756,620 378,310 189,155 567,466 283,733 851,200 425,600 212,800 106,400 53,200 26,600 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634

More profiles

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