λ
Prime Ledger

1,820,184

23 × 3 × 149 × 509
Abundant Even Composite

1,820,184 has the prime decomposition 2^3 × 3 × 149 × 509. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 149 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,590,000
Proper Divisor Sum 2,769,816
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1820171 ← → #1820201

Radix Representation

Decimal 1820184
Binary 110111100011000011000 (21 bits)
Octal 0o6743030
Hexadecimal 0x1BC618

Divisor Catalog (32)

1 2 3 4 6 8 12 24 149 298 447 509 596 894 1,018 1,192 1,527 1,788 2,036 3,054 3,576 4,072 6,108 12,216 75,841 151,682 227,523 303,364 455,046 606,728 910,092 1,820,184

Collatz Trajectory (109 steps to reach 1)

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

1,820,184 910,092 455,046 227,523 682,570 341,285 1,023,856 511,928 255,964 127,982 63,991 191,974 95,987 287,962 143,981 431,944 215,972 107,986 53,993 161,980 80,990 40,495 121,486 60,743 182,230 91,115 273,346 136,673 410,020 205,010 102,505 307,516 153,758 76,879 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925

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