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Atlas › Integer Profiles › Node 3,984,344

3,984,344

23 × 7 × 132 × 421
Abundant Even Composite

3,984,344 factors as 2^3 × 7 × 13^2 × 421. Its 48 positive divisors give a proper-divisor sum of 5,282,776, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13^2 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,267,120
Proper Divisor Sum 5,282,776
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3984317 ← → #3984347

Radix Representation

Decimal 3984344
Binary 1111001100101111011000 (22 bits)
Octal 0o17145730
Hexadecimal 0x3CCBD8

Divisor Catalog (48)

1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 421 676 728 842 1,183 1,352 1,684 2,366 2,947 3,368 4,732 5,473 5,894 9,464 10,946 11,788 21,892 23,576 38,311 43,784 71,149 76,622 142,298 153,244 284,596 306,488 498,043 569,192 996,086 1,992,172 3,984,344

Collatz Trajectory (92 steps to reach 1)

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

3,984,344 1,992,172 996,086 498,043 1,494,130 747,065 2,241,196 1,120,598 560,299 1,680,898 840,449 2,521,348 1,260,674 630,337 1,891,012 945,506 472,753 1,418,260 709,130 354,565 1,063,696 531,848 265,924 132,962 66,481 199,444 99,722 49,861 149,584 74,792 37,396 18,698 9,349 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118

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