6,950,031

3 × 11 × 47 × 4481

6,950,031 factors as 3 × 11 × 47 × 4481. Its 16 positive divisors give a proper-divisor sum of 3,376,497, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3 × 11 × 47 × 4481

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,326,528

Proper Divisor Sum 3,376,497

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6949993 ← → #6950057

Radix Representation

Decimal	6950031
Binary	11010100000110010001111 (23 bits)
Octal	0o32406217
Hexadecimal	0x6A0C8F

Divisor Catalog (16)

1 3 11 33 47 141 517 1,551 4,481 13,443 49,291 147,873 210,607 631,821 2,316,677 6,950,031

Collatz Trajectory (147 steps to reach 1)

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

6,950,031 20,850,094 10,425,047 31,275,142 15,637,571 46,912,714 23,456,357 70,369,072 35,184,536 17,592,268 8,796,134 4,398,067 13,194,202 6,597,101 19,791,304 9,895,652 4,947,826 2,473,913 7,421,740 3,710,870 1,855,435 5,566,306 2,783,153 8,349,460 4,174,730 2,087,365 6,262,096 3,131,048 1,565,524 782,762 391,381 1,174,144 587,072 293,536 146,768 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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