6,987,969

3² × 17 × 45673

6,987,969 factors as 3^2 × 17 × 45673. Its 12 positive divisors give a proper-divisor sum of 3,699,747, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 45673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,687,716

Proper Divisor Sum 3,699,747

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #6987949 ← → #6987971

Radix Representation

Decimal	6987969
Binary	11010101010000011000001 (23 bits)
Octal	0o32520301
Hexadecimal	0x6AA0C1

Divisor Catalog (12)

1 3 9 17 51 153 45,673 137,019 411,057 776,441 2,329,323 6,987,969

Collatz Trajectory (129 steps to reach 1)

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

6,987,969 20,963,908 10,481,954 5,240,977 15,722,932 7,861,466 3,930,733 11,792,200 5,896,100 2,948,050 1,474,025 4,422,076 2,211,038 1,105,519 3,316,558 1,658,279 4,974,838 2,487,419 7,462,258 3,731,129 11,193,388 5,596,694 2,798,347 8,395,042 4,197,521 12,592,564 6,296,282 3,148,141 9,444,424 4,722,212 2,361,106 1,180,553 3,541,660 1,770,830 885,415 2,656,246 1,328,123 3,984,370 1,992,185 5,976,556 2,988,278 1,494,139 4,482,418 2,241,209 6,723,628 3,361,814 1,680,907 5,042,722 2,521,361 7,564,084 3,782,042 1,891,021 5,673,064 2,836,532 1,418,266 709,133 2,127,400 1,063,700 531,850 265,925

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