6,802,007

211 × 32237

For 6,802,007, the 4 positive divisors have a total of 6,834,456. Removing 6,802,007 leaves 32,449, which gives the deficient classification.

Prime Factor Structure

Factorization String 211 × 32237

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,834,456

Proper Divisor Sum 32,449

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6802001 ← → #6802027

Radix Representation

Decimal	6802007
Binary	11001111100101001010111 (23 bits)
Octal	0o31745127
Hexadecimal	0x67CA57

Divisor Catalog (4)

1 211 32,237 6,802,007

Collatz Trajectory (253 steps to reach 1)

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

6,802,007 20,406,022 10,203,011 30,609,034 15,304,517 45,913,552 22,956,776 11,478,388 5,739,194 2,869,597 8,608,792 4,304,396 2,152,198 1,076,099 3,228,298 1,614,149 4,842,448 2,421,224 1,210,612 605,306 302,653 907,960 453,980 226,990 113,495 340,486 170,243 510,730 255,365 766,096 383,048 191,524 95,762 47,881 143,644 71,822 35,911 107,734 53,867 161,602 80,801 242,404 121,202 60,601 181,804 90,902 45,451 136,354 68,177 204,532 102,266 51,133 153,400 76,700 38,350 19,175 57,526 28,763 86,290 43,145

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