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Atlas › Integer Profiles › Node 3,978,448

3,978,448

24 × 19 × 23 × 569
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 19 × 23 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,481,600
Proper Divisor Sum 4,503,152
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3978433 ← → #3978451

Radix Representation

Decimal 3978448
Binary 1111001011010011010000 (22 bits)
Octal 0o17132320
Hexadecimal 0x3CB4D0

Divisor Catalog (40)

1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 569 874 1,138 1,748 2,276 3,496 4,552 6,992 9,104 10,811 13,087 21,622 26,174 43,244 52,348 86,488 104,696 172,976 209,392 248,653 497,306 994,612 1,989,224 3,978,448

Collatz Trajectory (61 steps to reach 1)

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

3,978,448 1,989,224 994,612 497,306 248,653 745,960 372,980 186,490 93,245 279,736 139,868 69,934 34,967 104,902 52,451 157,354 78,677 236,032 118,016 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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