6,723,808

2⁵ × 7 × 13 × 2309

6,723,808 has the prime decomposition 2^5 × 7 × 13 × 2309. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 2309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,299,360

Proper Divisor Sum 9,575,552

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6723803 ← → #6723863

Radix Representation

Decimal	6723808
Binary	11001101001100011100000 (23 bits)
Octal	0o31514340
Hexadecimal	0x6698E0

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,309 2,912 4,618 9,236 16,163 18,472 30,017 32,326 36,944 60,034 64,652 73,888 120,068 129,304 210,119 240,136 258,608 420,238 480,272 517,216 840,476 960,544 1,680,952 3,361,904 6,723,808

Collatz Trajectory (85 steps to reach 1)

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

6,723,808 3,361,904 1,680,952 840,476 420,238 210,119 630,358 315,179 945,538 472,769 1,418,308 709,154 354,577 1,063,732 531,866 265,933 797,800 398,900 199,450 99,725 299,176 149,588 74,794 37,397 112,192 56,096 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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