6,742,814

2 × 13 × 259339

For 6,742,814, the 8 positive divisors have a total of 10,892,280. Removing 6,742,814 leaves 4,149,466, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 259339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,892,280

Proper Divisor Sum 4,149,466

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6742807 ← → #6742817

Radix Representation

Decimal	6742814
Binary	11001101110001100011110 (23 bits)
Octal	0o31561436
Hexadecimal	0x66E31E

Divisor Catalog (8)

1 2 13 26 259,339 518,678 3,371,407 6,742,814

Collatz Trajectory (253 steps to reach 1)

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

6,742,814 3,371,407 10,114,222 5,057,111 15,171,334 7,585,667 22,757,002 11,378,501 34,135,504 17,067,752 8,533,876 4,266,938 2,133,469 6,400,408 3,200,204 1,600,102 800,051 2,400,154 1,200,077 3,600,232 1,800,116 900,058 450,029 1,350,088 675,044 337,522 168,761 506,284 253,142 126,571 379,714 189,857 569,572 284,786 142,393 427,180 213,590 106,795 320,386 160,193 480,580 240,290 120,145 360,436 180,218 90,109 270,328 135,164 67,582 33,791 101,374 50,687 152,062 76,031 228,094 114,047 342,142 171,071 513,214 256,607

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