876,960

2⁵ × 3³ × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 2,751,840

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #876947 ← → #876971

Radix Representation

Decimal	876960
Binary	11010110000110100000 (20 bits)
Octal	0o3260640
Hexadecimal	0xD61A0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 54 56 58 60 63 70 72 80 84 87 90 96 105 108 112 116 120 126 135 140 144 145 160 168 174 180 189 203 210 216 224

Collatz Trajectory (64 steps to reach 1)

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

876,960 438,480 219,240 109,620 54,810 27,405 82,216 41,108 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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