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4,136,384

26 × 72 × 1319
Abundant Even Composite

4,136,384 factors as 2^6 × 7^2 × 1319. Its 42 positive divisors give a proper-divisor sum of 5,419,096, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^6 × 7^2 × 1319
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 9,555,480
Proper Divisor Sum 5,419,096
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4136383 ← → #4136411

Radix Representation

Decimal 4136384
Binary 1111110001110111000000 (22 bits)
Octal 0o17616700
Hexadecimal 0x3F1DC0

Divisor Catalog (42)

1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1,319 1,568 2,638 3,136 5,276 9,233 10,552 18,466 21,104 36,932 42,208 64,631 73,864 84,416 129,262 147,728 258,524 295,456 517,048 590,912 1,034,096 2,068,192 4,136,384

Collatz Trajectory (79 steps to reach 1)

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

4,136,384 2,068,192 1,034,096 517,048 258,524 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132 109,066 54,533 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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