8,840,480

2⁵ × 5 × 11 × 5023

8,840,480 has the prime decomposition 2^5 × 5 × 11 × 5023. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 5023

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,788,864

Proper Divisor Sum 13,948,384

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8840477 ← → #8840497

Radix Representation

Decimal	8840480
Binary	100001101110010100100000 (24 bits)
Octal	0o41562440
Hexadecimal	0x86E520

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1,760 5,023 10,046 20,092 25,115 40,184 50,230 55,253 80,368 100,460 110,506 160,736 200,920 221,012 276,265 401,840 442,024 552,530 803,680 884,048 1,105,060 1,768,096 2,210,120 4,420,240 8,840,480

Collatz Trajectory (75 steps to reach 1)

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

8,840,480 4,420,240 2,210,120 1,105,060 552,530 276,265 828,796 414,398 207,199 621,598 310,799 932,398 466,199 1,398,598 699,299 2,097,898 1,048,949 3,146,848 1,573,424 786,712 393,356 196,678 98,339 295,018 147,509 442,528 221,264 110,632 55,316 27,658 13,829 41,488 20,744 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44

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