λ
Prime Ledger

3,418,604

22 × 7 × 83 × 1471
Abundant Even Composite

3,418,604 has the prime decomposition 2^2 × 7 × 83 × 1471. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 83 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,924,288
Proper Divisor Sum 3,505,684
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3418603 ← → #3418619

Radix Representation

Decimal 3418604
Binary 1101000010100111101100 (22 bits)
Octal 0o15024754
Hexadecimal 0x3429EC

Divisor Catalog (24)

1 2 4 7 14 28 83 166 332 581 1,162 1,471 2,324 2,942 5,884 10,297 20,594 41,188 122,093 244,186 488,372 854,651 1,709,302 3,418,604

Collatz Trajectory (102 steps to reach 1)

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

3,418,604 1,709,302 854,651 2,563,954 1,281,977 3,845,932 1,922,966 961,483 2,884,450 1,442,225 4,326,676 2,163,338 1,081,669 3,245,008 1,622,504 811,252 405,626 202,813 608,440 304,220 152,110 76,055 228,166 114,083 342,250 171,125 513,376 256,688 128,344 64,172 32,086 16,043 48,130 24,065 72,196 36,098 18,049 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126

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