λ
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13,614,534

2 × 33 × 53 × 67 × 71
Abundant Even Composite

13,614,534 factors as 2 × 3^3 × 53 × 67 × 71. Its 64 positive divisors give a proper-divisor sum of 18,111,546, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 53 × 67 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 31,726,080
Proper Divisor Sum 18,111,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #13614521 ← → #13614539

Radix Representation

Decimal 13614534
Binary 110011111011110111000110 (24 bits)
Octal 0o63736706
Hexadecimal 0xCFBDC6

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 53 54 67 71 106 134 142 159 201 213 318 402 426 477 603 639 954 1,206 1,278 1,431 1,809 1,917 2,862 3,551 3,618 3,763 3,834 4,757 7,102 7,526 9,514 10,653 11,289 14,271 21,306 22,578 28,542 31,959 33,867 42,813 63,918 67,734 85,626 95,877 101,601 128,439 191,754 203,202 252,121 256,878 504,242 756,363 1,512,726

Collatz Trajectory (86 steps to reach 1)

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

13,614,534 6,807,267 20,421,802 10,210,901 30,632,704 15,316,352 7,658,176 3,829,088 1,914,544 957,272 478,636 239,318 119,659 358,978 179,489 538,468 269,234 134,617 403,852 201,926 100,963 302,890 151,445 454,336 227,168 113,584 56,792 28,396 14,198 7,099 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404

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