λ
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21,043,880

23 × 5 × 11 × 132 × 283
Abundant Even Composite

21,043,880 factors as 2^3 × 5 × 11 × 13^2 × 283. Its 96 positive divisors give a proper-divisor sum of 35,085,880, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13^2 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 56,129,760
Proper Divisor Sum 35,085,880
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21043871 ← → #21043901

Radix Representation

Decimal 21043880
Binary 1010000010001101010101000 (25 bits)
Octal 0o120215250
Hexadecimal 0x1411AA8

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 283 286 338 440 520 566 572 676 715 845 1,132 1,144 1,352 1,415 1,430 1,690 1,859 2,264 2,830 2,860 3,113 3,380 3,679 3,718 5,660 5,720 6,226 6,760 7,358 7,436 9,295 11,320 12,452 14,716 14,872 15,565

Collatz Trajectory (66 steps to reach 1)

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

21,043,880 10,521,940 5,260,970 2,630,485 7,891,456 3,945,728 1,972,864 986,432 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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