λ
Integer Codex

6,757,738

2 × 13 × 17 × 15289
Deficient Even Composite

For 6,757,738, the 16 positive divisors have a total of 11,559,240. Removing 6,757,738 leaves 4,801,502, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 15289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,559,240
Proper Divisor Sum 4,801,502
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6757693 ← → #6757759

Radix Representation

Decimal 6757738
Binary 11001110001110101101010 (23 bits)
Octal 0o31616552
Hexadecimal 0x671D6A

Divisor Catalog (16)

1 2 13 17 26 34 221 442 15,289 30,578 198,757 259,913 397,514 519,826 3,378,869 6,757,738

Collatz Trajectory (134 steps to reach 1)

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

6,757,738 3,378,869 10,136,608 5,068,304 2,534,152 1,267,076 633,538 316,769 950,308 475,154 237,577 712,732 356,366 178,183 534,550 267,275 801,826 400,913 1,202,740 601,370 300,685 902,056 451,028 225,514 112,757 338,272 169,136 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154

More profiles

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