7,137,649

41 × 107 × 1627

For 7,137,649, the 8 positive divisors have a total of 7,384,608. Removing 7,137,649 leaves 246,959, which gives the deficient classification.

Prime Factor Structure

Factorization String 41 × 107 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,384,608

Proper Divisor Sum 246,959

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7137631 ← → #7137653

Radix Representation

Decimal	7137649
Binary	11011001110100101110001 (23 bits)
Octal	0o33164561
Hexadecimal	0x6CE971

Divisor Catalog (8)

1 41 107 1,627 4,387 66,707 174,089 7,137,649

Collatz Trajectory (67 steps to reach 1)

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

7,137,649 21,412,948 10,706,474 5,353,237 16,059,712 8,029,856 4,014,928 2,007,464 1,003,732 501,866 250,933 752,800 376,400 188,200 94,100 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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