λ
Integer Codex

3,644,660

22 × 5 × 182233
Abundant Even Composite

For 3,644,660, the 12 positive divisors have a total of 7,653,828. Removing 3,644,660 leaves 4,009,168, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 182233
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,653,828
Proper Divisor Sum 4,009,168
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3644659 ← → #3644699

Radix Representation

Decimal 3644660
Binary 1101111001110011110100 (22 bits)
Octal 0o15716364
Hexadecimal 0x379CF4

Divisor Catalog (12)

1 2 4 5 10 20 182,233 364,466 728,932 911,165 1,822,330 3,644,660

Collatz Trajectory (58 steps to reach 1)

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

3,644,660 1,822,330 911,165 2,733,496 1,366,748 683,374 341,687 1,025,062 512,531 1,537,594 768,797 2,306,392 1,153,196 576,598 288,299 864,898 432,449 1,297,348 648,674 324,337 973,012 486,506 243,253 729,760 364,880 182,440 91,220 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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