λ
Integer Codex

1,006,384

24 × 31 × 2029
Abundant Even Composite

For 1,006,384, the 20 positive divisors have a total of 2,013,760. Removing 1,006,384 leaves 1,007,376, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 31 × 2029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,013,760
Proper Divisor Sum 1,007,376
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1006367 ← → #1006391

Radix Representation

Decimal 1006384
Binary 11110101101100110000 (20 bits)
Octal 0o3655460
Hexadecimal 0xF5B30

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 2,029 4,058 8,116 16,232 32,464 62,899 125,798 251,596 503,192 1,006,384

Collatz Trajectory (108 steps to reach 1)

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

1,006,384 503,192 251,596 125,798 62,899 188,698 94,349 283,048 141,524 70,762 35,381 106,144 53,072 26,536 13,268 6,634 3,317 9,952 4,976 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

More profiles

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