6,733,491

3 × 53 × 42349

For 6,733,491, the 8 positive divisors have a total of 9,147,600. Removing 6,733,491 leaves 2,414,109, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 53 × 42349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,147,600

Proper Divisor Sum 2,414,109

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6733469 ← → #6733511

Radix Representation

Decimal	6733491
Binary	11001101011111010110011 (23 bits)
Octal	0o31537263
Hexadecimal	0x66BEB3

Divisor Catalog (8)

1 3 53 159 42,349 127,047 2,244,497 6,733,491

Collatz Trajectory (72 steps to reach 1)

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

6,733,491 20,200,474 10,100,237 30,300,712 15,150,356 7,575,178 3,787,589 11,362,768 5,681,384 2,840,692 1,420,346 710,173 2,130,520 1,065,260 532,630 266,315 798,946 399,473 1,198,420 599,210 299,605 898,816 449,408 224,704 112,352 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

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