6,958,833

3 × 7² × 47339

6,958,833 has digital root 6. The neighboring primes are 6958829 and 6958837; its proper-divisor sum differs from the starting integer by -3,124,146.

Prime Factor Structure

Factorization String 3 × 7^2 × 47339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,793,520

Proper Divisor Sum 3,834,687

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6958829 ← → #6958837

Radix Representation

Decimal	6958833
Binary	11010100010111011110001 (23 bits)
Octal	0o32427361
Hexadecimal	0x6A2EF1

Divisor Catalog (12)

1 3 7 21 49 147 47,339 142,017 331,373 994,119 2,319,611 6,958,833

Collatz Trajectory (222 steps to reach 1)

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

6,958,833 20,876,500 10,438,250 5,219,125 15,657,376 7,828,688 3,914,344 1,957,172 978,586 489,293 1,467,880 733,940 366,970 183,485 550,456 275,228 137,614 68,807 206,422 103,211 309,634 154,817 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152

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