6,996,742

2 × 53 × 149 × 443

For 6,996,742, the 16 positive divisors have a total of 10,789,200. Removing 6,996,742 leaves 3,792,458, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 53 × 149 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,789,200

Proper Divisor Sum 3,792,458

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6996739 ← → #6996823

Radix Representation

Decimal	6996742
Binary	11010101100001100000110 (23 bits)
Octal	0o32541406
Hexadecimal	0x6AC306

Divisor Catalog (16)

1 2 53 106 149 298 443 886 7,897 15,794 23,479 46,958 66,007 132,014 3,498,371 6,996,742

Collatz Trajectory (147 steps to reach 1)

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

6,996,742 3,498,371 10,495,114 5,247,557 15,742,672 7,871,336 3,935,668 1,967,834 983,917 2,951,752 1,475,876 737,938 368,969 1,106,908 553,454 276,727 830,182 415,091 1,245,274 622,637 1,867,912 933,956 466,978 233,489 700,468 350,234 175,117 525,352 262,676 131,338 65,669 197,008 98,504 49,252 24,626 12,313 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206

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