6,982,011

3³ × 29 × 37 × 241

6,982,011 has digital root 9. The neighboring primes are 6982009 and 6982021; its proper-divisor sum differs from the starting integer by -2,928,822.

Prime Factor Structure

Factorization String 3^3 × 29 × 37 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,035,200

Proper Divisor Sum 4,053,189

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6982009 ← → #6982021

Radix Representation

Decimal	6982011
Binary	11010101000100101111011 (23 bits)
Octal	0o32504573
Hexadecimal	0x6A897B

Divisor Catalog (32)

1 3 9 27 29 37 87 111 241 261 333 723 783 999 1,073 2,169 3,219 6,507 6,989 8,917 9,657 20,967 26,751 28,971 62,901 80,253 188,703 240,759 258,593 775,779 2,327,337 6,982,011

Collatz Trajectory (98 steps to reach 1)

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

6,982,011 20,946,034 10,473,017 31,419,052 15,709,526 7,854,763 23,564,290 11,782,145 35,346,436 17,673,218 8,836,609 26,509,828 13,254,914 6,627,457 19,882,372 9,941,186 4,970,593 14,911,780 7,455,890 3,727,945 11,183,836 5,591,918 2,795,959 8,387,878 4,193,939 12,581,818 6,290,909 18,872,728 9,436,364 4,718,182 2,359,091 7,077,274 3,538,637 10,615,912 5,307,956 2,653,978 1,326,989 3,980,968 1,990,484 995,242 497,621 1,492,864 746,432 373,216 186,608 93,304 46,652 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381

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