6,950,006

2 × 7 × 37 × 13417

6,950,006 factors as 2 × 7 × 37 × 13417. Its 16 positive divisors give a proper-divisor sum of 5,287,210, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 13417

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,237,216

Proper Divisor Sum 5,287,210

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6949993 ← → #6950057

Radix Representation

Decimal	6950006
Binary	11010100000110001110110 (23 bits)
Octal	0o32406166
Hexadecimal	0x6A0C76

Divisor Catalog (16)

1 2 7 14 37 74 259 518 13,417 26,834 93,919 187,838 496,429 992,858 3,475,003 6,950,006

Collatz Trajectory (209 steps to reach 1)

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

6,950,006 3,475,003 10,425,010 5,212,505 15,637,516 7,818,758 3,909,379 11,728,138 5,864,069 17,592,208 8,796,104 4,398,052 2,199,026 1,099,513 3,298,540 1,649,270 824,635 2,473,906 1,236,953 3,710,860 1,855,430 927,715 2,783,146 1,391,573 4,174,720 2,087,360 1,043,680 521,840 260,920 130,460 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942

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