λ
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6,900,166

2 × 7 × 13 × 31 × 1223
Deficient Even Composite

6,900,166 factors as 2 × 7 × 13 × 31 × 1223. Its 32 positive divisors give a proper-divisor sum of 6,260,282, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 31 × 1223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,160,448
Proper Divisor Sum 6,260,282
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6900151 ← → #6900203

Radix Representation

Decimal 6900166
Binary 11010010100100111000110 (23 bits)
Octal 0o32244706
Hexadecimal 0x6949C6

Divisor Catalog (32)

1 2 7 13 14 26 31 62 91 182 217 403 434 806 1,223 2,446 2,821 5,642 8,561 15,899 17,122 31,798 37,913 75,826 111,293 222,586 265,391 492,869 530,782 985,738 3,450,083 6,900,166

Collatz Trajectory (98 steps to reach 1)

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

6,900,166 3,450,083 10,350,250 5,175,125 15,525,376 7,762,688 3,881,344 1,940,672 970,336 485,168 242,584 121,292 60,646 30,323 90,970 45,485 136,456 68,228 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222

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