λ
Prime Ledger

1,462,266

2 × 33 × 13 × 2083
Abundant Even Composite

1,462,266 has the prime decomposition 2 × 3^3 × 13 × 2083. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,501,120
Proper Divisor Sum 2,038,854
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1462249 ← → #1462313

Radix Representation

Decimal 1462266
Binary 101100100111111111010 (21 bits)
Octal 0o5447772
Hexadecimal 0x164FFA

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 2,083 4,166 6,249 12,498 18,747 27,079 37,494 54,158 56,241 81,237 112,482 162,474 243,711 487,422 731,133 1,462,266

Collatz Trajectory (212 steps to reach 1)

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

1,462,266 731,133 2,193,400 1,096,700 548,350 274,175 822,526 411,263 1,233,790 616,895 1,850,686 925,343 2,776,030 1,388,015 4,164,046 2,082,023 6,246,070 3,123,035 9,369,106 4,684,553 14,053,660 7,026,830 3,513,415 10,540,246 5,270,123 15,810,370 7,905,185 23,715,556 11,857,778 5,928,889 17,786,668 8,893,334 4,446,667 13,340,002 6,670,001 20,010,004 10,005,002 5,002,501 15,007,504 7,503,752 3,751,876 1,875,938 937,969 2,813,908 1,406,954 703,477 2,110,432 1,055,216 527,608 263,804 131,902 65,951 197,854 98,927 296,782 148,391 445,174 222,587 667,762 333,881

More profiles

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