λ
Prime Ledger

1,327,129

41 × 32369
Deficient Odd Composite

1,327,129 has the prime decomposition 41 × 32369. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 32369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,359,540
Proper Divisor Sum 32,411
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1327111 ← → #1327133

Radix Representation

Decimal 1327129
Binary 101000100000000011001 (21 bits)
Octal 0o5040031
Hexadecimal 0x144019

Divisor Catalog (4)

1 41 32,369 1,327,129

Collatz Trajectory (217 steps to reach 1)

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

1,327,129 3,981,388 1,990,694 995,347 2,986,042 1,493,021 4,479,064 2,239,532 1,119,766 559,883 1,679,650 839,825 2,519,476 1,259,738 629,869 1,889,608 944,804 472,402 236,201 708,604 354,302 177,151 531,454 265,727 797,182 398,591 1,195,774 597,887 1,793,662 896,831 2,690,494 1,345,247 4,035,742 2,017,871 6,053,614 3,026,807 9,080,422 4,540,211 13,620,634 6,810,317 20,430,952 10,215,476 5,107,738 2,553,869 7,661,608 3,830,804 1,915,402 957,701 2,873,104 1,436,552 718,276 359,138 179,569 538,708 269,354 134,677 404,032 202,016 101,008 50,504

More profiles

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