λ
Harmonic Matrix

1,991,129

7 × 284447
Deficient Odd Composite

1,991,129 has digital root 5. The neighboring primes are 1991123 and 1991131; its proper-divisor sum differs from the starting integer by -1,706,674.

Prime Factor Structure

Factorization String 7 × 284447
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,275,584
Proper Divisor Sum 284,455
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1991123 ← → #1991131

Radix Representation

Decimal 1991129
Binary 111100110000111011001 (21 bits)
Octal 0o7460731
Hexadecimal 0x1E61D9

Divisor Catalog (4)

1 7 284,447 1,991,129

Collatz Trajectory (184 steps to reach 1)

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

1,991,129 5,973,388 2,986,694 1,493,347 4,480,042 2,240,021 6,720,064 3,360,032 1,680,016 840,008 420,004 210,002 105,001 315,004 157,502 78,751 236,254 118,127 354,382 177,191 531,574 265,787 797,362 398,681 1,196,044 598,022 299,011 897,034 448,517 1,345,552 672,776 336,388 168,194 84,097 252,292 126,146 63,073 189,220 94,610 47,305 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634

More profiles

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