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Atlas › Integer Profiles › Node 3,905,418

3,905,418

2 × 3 × 11 × 47 × 1259
Abundant Even Composite

3,905,418 factors as 2 × 3 × 11 × 47 × 1259. Its 32 positive divisors give a proper-divisor sum of 4,803,702, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 47 × 1259
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 4,803,702
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3905417 ← → #3905441

Radix Representation

Decimal 3905418
Binary 1110111001011110001010 (22 bits)
Octal 0o16713612
Hexadecimal 0x3B978A

Divisor Catalog (32)

1 2 3 6 11 22 33 47 66 94 141 282 517 1,034 1,259 1,551 2,518 3,102 3,777 7,554 13,849 27,698 41,547 59,173 83,094 118,346 177,519 355,038 650,903 1,301,806 1,952,709 3,905,418

Collatz Trajectory (92 steps to reach 1)

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

3,905,418 1,952,709 5,858,128 2,929,064 1,464,532 732,266 366,133 1,098,400 549,200 274,600 137,300 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

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