λ
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4,459,686

2 × 3 × 73 × 11 × 197
Abundant Even Composite

4,459,686 factors as 2 × 3 × 7^3 × 11 × 197. Its 64 positive divisors give a proper-divisor sum of 6,945,114, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 11 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,404,800
Proper Divisor Sum 6,945,114
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4459669 ← → #4459687

Radix Representation

Decimal 4459686
Binary 10001000000110010100110 (23 bits)
Octal 0o21006246
Hexadecimal 0x440CA6

Divisor Catalog (60 of 64)

1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 197 231 294 343 394 462 539 591 686 1,029 1,078 1,182 1,379 1,617 2,058 2,167 2,758 3,234 3,773 4,137 4,334 6,501 7,546 8,274 9,653 11,319 13,002 15,169 19,306 22,638 28,959 30,338 45,507 57,918 67,571 91,014 106,183 135,142 202,713 212,366 318,549 405,426 637,098

Collatz Trajectory (167 steps to reach 1)

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

4,459,686 2,229,843 6,689,530 3,344,765 10,034,296 5,017,148 2,508,574 1,254,287 3,762,862 1,881,431 5,644,294 2,822,147 8,466,442 4,233,221 12,699,664 6,349,832 3,174,916 1,587,458 793,729 2,381,188 1,190,594 595,297 1,785,892 892,946 446,473 1,339,420 669,710 334,855 1,004,566 502,283 1,506,850 753,425 2,260,276 1,130,138 565,069 1,695,208 847,604 423,802 211,901 635,704 317,852 158,926 79,463 238,390 119,195 357,586 178,793 536,380 268,190 134,095 402,286 201,143 603,430 301,715 905,146 452,573 1,357,720 678,860 339,430 169,715

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