840,960

2⁸ × 3² × 5 × 73

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,949,492

Proper Divisor Sum 2,108,532

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #840943 ← → #840967

Radix Representation

Decimal	840960
Binary	11001101010100000000 (20 bits)
Octal	0o3152400
Hexadecimal	0xCD500

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 73 80 90 96 120 128 144 146 160 180 192 219 240 256 288 292 320 360 365 384 438 480 576 584 640 657 720 730 768 876 960 1,095 1,152 1,168 1,280 1,314

Collatz Trajectory (38 steps to reach 1)

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

840,960 420,480 210,240 105,120 52,560 26,280 13,140 6,570 3,285 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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