6,962,787

3³ × 13 × 83 × 239

6,962,787 factors as 3^3 × 13 × 83 × 239. Its 32 positive divisors give a proper-divisor sum of 4,326,813, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 83 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,289,600

Proper Divisor Sum 4,326,813

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6962783 ← → #6962801

Radix Representation

Decimal	6962787
Binary	11010100011111001100011 (23 bits)
Octal	0o32437143
Hexadecimal	0x6A3E63

Divisor Catalog (32)

1 3 9 13 27 39 83 117 239 249 351 717 747 1,079 2,151 2,241 3,107 3,237 6,453 9,321 9,711 19,837 27,963 29,133 59,511 83,889 178,533 257,881 535,599 773,643 2,320,929 6,962,787

Collatz Trajectory (85 steps to reach 1)

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

6,962,787 20,888,362 10,444,181 31,332,544 15,666,272 7,833,136 3,916,568 1,958,284 979,142 489,571 1,468,714 734,357 2,203,072 1,101,536 550,768 275,384 137,692 68,846 34,423 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205

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