8,821,280

2⁵ × 5 × 13 × 4241

8,821,280 has the prime decomposition 2^5 × 5 × 13 × 4241. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 4241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,448,664

Proper Divisor Sum 13,627,384

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8821243 ← → #8821291

Radix Representation

Decimal	8821280
Binary	100001101001101000100000 (24 bits)
Octal	0o41515040
Hexadecimal	0x869A20

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 4,241 8,482 16,964 21,205 33,928 42,410 55,133 67,856 84,820 110,266 135,712 169,640 220,532 275,665 339,280 441,064 551,330 678,560 882,128 1,102,660 1,764,256 2,205,320 4,410,640 8,821,280

Collatz Trajectory (88 steps to reach 1)

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

8,821,280 4,410,640 2,205,320 1,102,660 551,330 275,665 826,996 413,498 206,749 620,248 310,124 155,062 77,531 232,594 116,297 348,892 174,446 87,223 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260

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