λ
Integer Codex

5,587,984

24 × 71 × 4919
Deficient Even Composite

For 5,587,984, the 20 positive divisors have a total of 10,981,440. Removing 5,587,984 leaves 5,393,456, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 71 × 4919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,981,440
Proper Divisor Sum 5,393,456
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5587973 ← → #5587991

Radix Representation

Decimal 5587984
Binary 10101010100010000010000 (23 bits)
Octal 0o25242020
Hexadecimal 0x554410

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 4,919 9,838 19,676 39,352 78,704 349,249 698,498 1,396,996 2,793,992 5,587,984

Collatz Trajectory (64 steps to reach 1)

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

5,587,984 2,793,992 1,396,996 698,498 349,249 1,047,748 523,874 261,937 785,812 392,906 196,453 589,360 294,680 147,340 73,670 36,835 110,506 55,253 165,760 82,880 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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