6,507,809

7 × 11 × 223 × 379

6,507,809 factors as 7 × 11 × 223 × 379. Its 16 positive divisors give a proper-divisor sum of 1,663,711, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 7 × 11 × 223 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,171,520

Proper Divisor Sum 1,663,711

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6507793 ← → #6507833

Radix Representation

Decimal	6507809
Binary	11000110100110100100001 (23 bits)
Octal	0o30646441
Hexadecimal	0x634D21

Divisor Catalog (16)

1 7 11 77 223 379 1,561 2,453 2,653 4,169 17,171 29,183 84,517 591,619 929,687 6,507,809

Collatz Trajectory (227 steps to reach 1)

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

6,507,809 19,523,428 9,761,714 4,880,857 14,642,572 7,321,286 3,660,643 10,981,930 5,490,965 16,472,896 8,236,448 4,118,224 2,059,112 1,029,556 514,778 257,389 772,168 386,084 193,042 96,521 289,564 144,782 72,391 217,174 108,587 325,762 162,881 488,644 244,322 122,161 366,484 183,242 91,621 274,864 137,432 68,716 34,358 17,179 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678

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