λ
Prime Ledger

2,118,326

2 × 7 × 83 × 1823
Deficient Even Composite

2,118,326 has the prime decomposition 2 × 7 × 83 × 1823. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 83 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,677,184
Proper Divisor Sum 1,558,858
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2118313 ← → #2118331

Radix Representation

Decimal 2118326
Binary 1000000101001010110110 (22 bits)
Octal 0o10051266
Hexadecimal 0x2052B6

Divisor Catalog (16)

1 2 7 14 83 166 581 1,162 1,823 3,646 12,761 25,522 151,309 302,618 1,059,163 2,118,326

Collatz Trajectory (241 steps to reach 1)

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

2,118,326 1,059,163 3,177,490 1,588,745 4,766,236 2,383,118 1,191,559 3,574,678 1,787,339 5,362,018 2,681,009 8,043,028 4,021,514 2,010,757 6,032,272 3,016,136 1,508,068 754,034 377,017 1,131,052 565,526 282,763 848,290 424,145 1,272,436 636,218 318,109 954,328 477,164 238,582 119,291 357,874 178,937 536,812 268,406 134,203 402,610 201,305 603,916 301,958 150,979 452,938 226,469 679,408 339,704 169,852 84,926 42,463 127,390 63,695 191,086 95,543 286,630 143,315 429,946 214,973 644,920 322,460 161,230 80,615

More profiles

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