λ
Integer Codex

1,002,380

22 × 5 × 50119
Abundant Even Composite

For 1,002,380, the 12 positive divisors have a total of 2,105,040. Removing 1,002,380 leaves 1,102,660, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 50119
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,105,040
Proper Divisor Sum 1,102,660
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1002377 ← → #1002403

Radix Representation

Decimal 1002380
Binary 11110100101110001100 (20 bits)
Octal 0o3645614
Hexadecimal 0xF4B8C

Divisor Catalog (12)

1 2 4 5 10 20 50,119 100,238 200,476 250,595 501,190 1,002,380

Collatz Trajectory (108 steps to reach 1)

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

1,002,380 501,190 250,595 751,786 375,893 1,127,680 563,840 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 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

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