6,992,763

3 × 17 × 31 × 4423

6,992,763 has digital root 6. The neighboring primes are 6992753 and 6992803; its proper-divisor sum differs from the starting integer by -3,792,630.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 4423

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,192,896

Proper Divisor Sum 3,200,133

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6992753 ← → #6992803

Radix Representation

Decimal	6992763
Binary	11010101011001101111011 (23 bits)
Octal	0o32531573
Hexadecimal	0x6AB37B

Divisor Catalog (16)

1 3 17 31 51 93 527 1,581 4,423 13,269 75,191 137,113 225,573 411,339 2,330,921 6,992,763

Collatz Trajectory (116 steps to reach 1)

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

6,992,763 20,978,290 10,489,145 31,467,436 15,733,718 7,866,859 23,600,578 11,800,289 35,400,868 17,700,434 8,850,217 26,550,652 13,275,326 6,637,663 19,912,990 9,956,495 29,869,486 14,934,743 44,804,230 22,402,115 67,206,346 33,603,173 100,809,520 50,404,760 25,202,380 12,601,190 6,300,595 18,901,786 9,450,893 28,352,680 14,176,340 7,088,170 3,544,085 10,632,256 5,316,128 2,658,064 1,329,032 664,516 332,258 166,129 498,388 249,194 124,597 373,792 186,896 93,448 46,724 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393

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