880,208

2⁴ × 7 × 29 × 271

880,208 has the prime decomposition 2^4 × 7 × 29 × 271. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,023,680

Proper Divisor Sum 1,143,472

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #880199 ← → #880211

Radix Representation

Decimal	880208
Binary	11010110111001010000 (20 bits)
Octal	0o3267120
Hexadecimal	0xD6E50

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 271 406 464 542 812 1,084 1,624 1,897 2,168 3,248 3,794 4,336 7,588 7,859 15,176 15,718 30,352 31,436 55,013 62,872 110,026 125,744 220,052 440,104 880,208

Collatz Trajectory (38 steps to reach 1)

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

880,208 440,104 220,052 110,026 55,013 165,040 82,520 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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