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Atlas › Integer Profiles › Node 4,654,384

4,654,384

24 × 7 × 29 × 1433
Abundant Even Composite

4,654,384 factors as 2^4 × 7 × 29 × 1433. Its 40 positive divisors give a proper-divisor sum of 6,014,576, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,668,960
Proper Divisor Sum 6,014,576
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4654381 ← → #4654387

Radix Representation

Decimal 4654384
Binary 10001110000010100110000 (23 bits)
Octal 0o21602460
Hexadecimal 0x470530

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,433 1,624 2,866 3,248 5,732 10,031 11,464 20,062 22,928 40,124 41,557 80,248 83,114 160,496 166,228 290,899 332,456 581,798 664,912 1,163,596 2,327,192 4,654,384

Collatz Trajectory (193 steps to reach 1)

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

4,654,384 2,327,192 1,163,596 581,798 290,899 872,698 436,349 1,309,048 654,524 327,262 163,631 490,894 245,447 736,342 368,171 1,104,514 552,257 1,656,772 828,386 414,193 1,242,580 621,290 310,645 931,936 465,968 232,984 116,492 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881

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