6,875,001

3² × 7 × 29 × 53 × 71

6,875,001 factors as 3^2 × 7 × 29 × 53 × 71. Its 48 positive divisors give a proper-divisor sum of 5,255,559, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 53 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,130,560

Proper Divisor Sum 5,255,559

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6874997 ← → #6875023

Radix Representation

Decimal	6875001
Binary	11010001110011101111001 (23 bits)
Octal	0o32163571
Hexadecimal	0x68E779

Divisor Catalog (48)

1 3 7 9 21 29 53 63 71 87 159 203 213 261 371 477 497 609 639 1,113 1,491 1,537 1,827 2,059 3,339 3,763 4,473 4,611 6,177 10,759 11,289 13,833 14,413 18,531 26,341 32,277 33,867 43,239 79,023 96,831 109,127 129,717 237,069 327,381 763,889 982,143 2,291,667 6,875,001

Collatz Trajectory (209 steps to reach 1)

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

6,875,001 20,625,004 10,312,502 5,156,251 15,468,754 7,734,377 23,203,132 11,601,566 5,800,783 17,402,350 8,701,175 26,103,526 13,051,763 39,155,290 19,577,645 58,732,936 29,366,468 14,683,234 7,341,617 22,024,852 11,012,426 5,506,213 16,518,640 8,259,320 4,129,660 2,064,830 1,032,415 3,097,246 1,548,623 4,645,870 2,322,935 6,968,806 3,484,403 10,453,210 5,226,605 15,679,816 7,839,908 3,919,954 1,959,977 5,879,932 2,939,966 1,469,983 4,409,950 2,204,975 6,614,926 3,307,463 9,922,390 4,961,195 14,883,586 7,441,793 22,325,380 11,162,690 5,581,345 16,744,036 8,372,018 4,186,009 12,558,028 6,279,014 3,139,507 9,418,522

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