6,986,079

3² × 431 × 1801

6,986,079 factors as 3^2 × 431 × 1801. Its 12 positive divisors give a proper-divisor sum of 3,133,953, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^2 × 431 × 1801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,120,032

Proper Divisor Sum 3,133,953

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6986047 ← → #6986087

Radix Representation

Decimal	6986079
Binary	11010101001100101011111 (23 bits)
Octal	0o32514537
Hexadecimal	0x6A995F

Divisor Catalog (12)

1 3 9 431 1,293 1,801 3,879 5,403 16,209 776,231 2,328,693 6,986,079

Collatz Trajectory (129 steps to reach 1)

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

6,986,079 20,958,238 10,479,119 31,437,358 15,718,679 47,156,038 23,578,019 70,734,058 35,367,029 106,101,088 53,050,544 26,525,272 13,262,636 6,631,318 3,315,659 9,946,978 4,973,489 14,920,468 7,460,234 3,730,117 11,190,352 5,595,176 2,797,588 1,398,794 699,397 2,098,192 1,049,096 524,548 262,274 131,137 393,412 196,706 98,353 295,060 147,530 73,765 221,296 110,648 55,324 27,662 13,831 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231

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