λ
Integer Codex

3,618,018

2 × 32 × 19 × 71 × 149
Abundant Even Composite

For 3,618,018, the 48 positive divisors have a total of 8,424,000. Removing 3,618,018 leaves 4,805,982, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 71 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,424,000
Proper Divisor Sum 4,805,982
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3618007 ← → #3618029

Radix Representation

Decimal 3618018
Binary 1101110011010011100010 (22 bits)
Octal 0o15632342
Hexadecimal 0x3734E2

Divisor Catalog (48)

1 2 3 6 9 18 19 38 57 71 114 142 149 171 213 298 342 426 447 639 894 1,278 1,341 1,349 2,682 2,698 2,831 4,047 5,662 8,094 8,493 10,579 12,141 16,986 21,158 24,282 25,479 31,737 50,958 63,474 95,211 190,422 201,001 402,002 603,003 1,206,006 1,809,009 3,618,018

Collatz Trajectory (172 steps to reach 1)

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

3,618,018 1,809,009 5,427,028 2,713,514 1,356,757 4,070,272 2,035,136 1,017,568 508,784 254,392 127,196 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796 54,398 27,199 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699

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