λ
Ratio Atlas

8,352,663

3 × 11 × 127 × 1993
Deficient Odd Composite

8,352,663 factors as 3 × 11 × 127 × 1993. Its 16 positive divisors give a proper-divisor sum of 3,898,473, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 11 × 127 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,251,136
Proper Divisor Sum 3,898,473
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8352629 ← → #8352679

Radix Representation

Decimal 8352663
Binary 11111110111001110010111 (23 bits)
Octal 0o37671627
Hexadecimal 0x7F7397

Divisor Catalog (16)

1 3 11 33 127 381 1,397 1,993 4,191 5,979 21,923 65,769 253,111 759,333 2,784,221 8,352,663

Collatz Trajectory (80 steps to reach 1)

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

8,352,663 25,057,990 12,528,995 37,586,986 18,793,493 56,380,480 28,190,240 14,095,120 7,047,560 3,523,780 1,761,890 880,945 2,642,836 1,321,418 660,709 1,982,128 991,064 495,532 247,766 123,883 371,650 185,825 557,476 278,738 139,369 418,108 209,054 104,527 313,582 156,791 470,374 235,187 705,562 352,781 1,058,344 529,172 264,586 132,293 396,880 198,440 99,220 49,610 24,805 74,416 37,208 18,604 9,302 4,651 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472

More profiles

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