λ
Prime Ledger

1,992,001

11 × 47 × 3853
Deficient Odd Composite

1,992,001 has the prime decomposition 11 × 47 × 3853. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 47 × 3853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,219,904
Proper Divisor Sum 227,903
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1991999 ← → #1992031

Radix Representation

Decimal 1992001
Binary 111100110010101000001 (21 bits)
Octal 0o7462501
Hexadecimal 0x1E6541

Divisor Catalog (8)

1 11 47 517 3,853 42,383 181,091 1,992,001

Collatz Trajectory (65 steps to reach 1)

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

1,992,001 5,976,004 2,988,002 1,494,001 4,482,004 2,241,002 1,120,501 3,361,504 1,680,752 840,376 420,188 210,094 105,047 315,142 157,571 472,714 236,357 709,072 354,536 177,268 88,634 44,317 132,952 66,476 33,238 16,619 49,858 24,929 74,788 37,394 18,697 56,092 28,046 14,023 42,070 21,035 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10

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