λ
Sigma Notebook

3,985,580

22 × 5 × 349 × 571
Abundant Even Composite

3,985,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 349 × 571 and its 24 divisors sum to 8,408,400.

Prime Factor Structure

Factorization String 2^2 × 5 × 349 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,408,400
Proper Divisor Sum 4,422,820
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3985567 ← → #3985589

Radix Representation

Decimal 3985580
Binary 1111001101000010101100 (22 bits)
Octal 0o17150254
Hexadecimal 0x3CD0AC

Divisor Catalog (24)

1 2 4 5 10 20 349 571 698 1,142 1,396 1,745 2,284 2,855 3,490 5,710 6,980 11,420 199,279 398,558 797,116 996,395 1,992,790 3,985,580

Collatz Trajectory (92 steps to reach 1)

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

3,985,580 1,992,790 996,395 2,989,186 1,494,593 4,483,780 2,241,890 1,120,945 3,362,836 1,681,418 840,709 2,522,128 1,261,064 630,532 315,266 157,633 472,900 236,450 118,225 354,676 177,338 88,669 266,008 133,004 66,502 33,251 99,754 49,877 149,632 74,816 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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