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3,481,384

23 × 472 × 197
Deficient Even Composite

3,481,384 factors as 2^3 × 47^2 × 197. Its 24 positive divisors give a proper-divisor sum of 3,221,906, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 47^2 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,703,290
Proper Divisor Sum 3,221,906
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3481339 ← → #3481391

Radix Representation

Decimal 3481384
Binary 1101010001111100101000 (22 bits)
Octal 0o15217450
Hexadecimal 0x351F28

Divisor Catalog (24)

1 2 4 8 47 94 188 197 376 394 788 1,576 2,209 4,418 8,836 9,259 17,672 18,518 37,036 74,072 435,173 870,346 1,740,692 3,481,384

Collatz Trajectory (84 steps to reach 1)

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

3,481,384 1,740,692 870,346 435,173 1,305,520 652,760 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616

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