λ
Sigma Notebook

4,499,586

2 × 32 × 7 × 13 × 41 × 67
Abundant Even Composite

4,499,586 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 13 × 41 × 67 and its 96 divisors sum to 12,475,008.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 41 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 12,475,008
Proper Divisor Sum 7,975,422
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4499581 ← → #4499587

Radix Representation

Decimal 4499586
Binary 10001001010100010000010 (23 bits)
Octal 0o21124202
Hexadecimal 0x44A882

Divisor Catalog (60 of 96)

1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 67 78 82 91 117 123 126 134 182 201 234 246 273 287 369 402 469 533 546 574 603 738 819 861 871 938 1,066 1,206 1,407 1,599 1,638 1,722 1,742 2,583 2,613 2,747 2,814 3,198 3,731 4,221 4,797 5,166 5,226 5,494 6,097

Collatz Trajectory (149 steps to reach 1)

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

4,499,586 2,249,793 6,749,380 3,374,690 1,687,345 5,062,036 2,531,018 1,265,509 3,796,528 1,898,264 949,132 474,566 237,283 711,850 355,925 1,067,776 533,888 266,944 133,472 66,736 33,368 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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