6,982,825

5² × 37 × 7549

6,982,825 factors as 5^2 × 37 × 7549. Its 12 positive divisors give a proper-divisor sum of 1,911,075, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 7549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,893,900

Proper Divisor Sum 1,911,075

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6982819 ← → #6982831

Radix Representation

Decimal	6982825
Binary	11010101000110010101001 (23 bits)
Octal	0o32506251
Hexadecimal	0x6A8CA9

Divisor Catalog (12)

1 5 25 37 185 925 7,549 37,745 188,725 279,313 1,396,565 6,982,825

Collatz Trajectory (284 steps to reach 1)

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

6,982,825 20,948,476 10,474,238 5,237,119 15,711,358 7,855,679 23,567,038 11,783,519 35,350,558 17,675,279 53,025,838 26,512,919 79,538,758 39,769,379 119,308,138 59,654,069 178,962,208 89,481,104 44,740,552 22,370,276 11,185,138 5,592,569 16,777,708 8,388,854 4,194,427 12,583,282 6,291,641 18,874,924 9,437,462 4,718,731 14,156,194 7,078,097 21,234,292 10,617,146 5,308,573 15,925,720 7,962,860 3,981,430 1,990,715 5,972,146 2,986,073 8,958,220 4,479,110 2,239,555 6,718,666 3,359,333 10,078,000 5,039,000 2,519,500 1,259,750 629,875 1,889,626 944,813 2,834,440 1,417,220 708,610 354,305 1,062,916 531,458 265,729

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