3,413,618

2 × 13 × 131293

For 3,413,618, the 8 positive divisors have a total of 5,514,348. Removing 3,413,618 leaves 2,100,730, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 131293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,514,348

Proper Divisor Sum 2,100,730

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3413611 ← → #3413623

Radix Representation

Decimal	3413618
Binary	1101000001011001110010 (22 bits)
Octal	0o15013162
Hexadecimal	0x341672

Divisor Catalog (8)

1 2 13 26 131,293 262,586 1,706,809 3,413,618

Collatz Trajectory (221 steps to reach 1)

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

3,413,618 1,706,809 5,120,428 2,560,214 1,280,107 3,840,322 1,920,161 5,760,484 2,880,242 1,440,121 4,320,364 2,160,182 1,080,091 3,240,274 1,620,137 4,860,412 2,430,206 1,215,103 3,645,310 1,822,655 5,467,966 2,733,983 8,201,950 4,100,975 12,302,926 6,151,463 18,454,390 9,227,195 27,681,586 13,840,793 41,522,380 20,761,190 10,380,595 31,141,786 15,570,893 46,712,680 23,356,340 11,678,170 5,839,085 17,517,256 8,758,628 4,379,314 2,189,657 6,568,972 3,284,486 1,642,243 4,926,730 2,463,365 7,390,096 3,695,048 1,847,524 923,762 461,881 1,385,644 692,822 346,411 1,039,234 519,617 1,558,852 779,426

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