6,743,520

2⁵ × 3³ × 5 × 7 × 223

Starting at 6,743,520, the Collatz iteration reaches 1 after 85 steps. The first transition is 3371760; the starting value is even with 192 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 7 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 27,095,040

Proper Divisor Sum 20,351,520

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6743491 ← → #6743533

Radix Representation

Decimal	6743520
Binary	11001101110010111100000 (23 bits)
Octal	0o31562740
Hexadecimal	0x66E5E0

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 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 210 216 223 224 240 252 270 280 288 315

Collatz Trajectory (85 steps to reach 1)

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

6,743,520 3,371,760 1,685,880 842,940 421,470 210,735 632,206 316,103 948,310 474,155 1,422,466 711,233 2,133,700 1,066,850 533,425 1,600,276 800,138 400,069 1,200,208 600,104 300,052 150,026 75,013 225,040 112,520 56,260 28,130 14,065 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

← Previous Integer #6,743,519 Browse Full Index Next Integer #6,743,521 →