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Atlas › Integer Profiles › Node 4,986,408

4,986,408

23 × 3 × 7 × 67 × 443
Abundant Even Composite

4,986,408 factors as 2^3 × 3 × 7 × 67 × 443. Its 64 positive divisors give a proper-divisor sum of 9,505,752, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 67 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,492,160
Proper Divisor Sum 9,505,752
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4986407 ← → #4986413

Radix Representation

Decimal 4986408
Binary 10011000001011000101000 (23 bits)
Octal 0o23013050
Hexadecimal 0x4C1628

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 443 469 536 804 886 938 1,329 1,407 1,608 1,772 1,876 2,658 2,814 3,101 3,544 3,752 5,316 5,628 6,202 9,303 10,632 11,256 12,404 18,606 24,808 29,681 37,212 59,362 74,424 89,043 118,724 178,086 207,767 237,448 356,172 415,534 623,301 712,344 831,068

Collatz Trajectory (175 steps to reach 1)

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

4,986,408 2,493,204 1,246,602 623,301 1,869,904 934,952 467,476 233,738 116,869 350,608 175,304 87,652 43,826 21,913 65,740 32,870 16,435 49,306 24,653 73,960 36,980 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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