13,638,436

2² × 7 × 103 × 4729

13,638,436 factors as 2^2 × 7 × 103 × 4729. Its 24 positive divisors give a proper-divisor sum of 13,909,084, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 103 × 4729

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,547,520

Proper Divisor Sum 13,909,084

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13638421 ← → #13638451

Radix Representation

Decimal	13638436
Binary	110100000001101100100100 (24 bits)
Octal	0o64015444
Hexadecimal	0xD01B24

Divisor Catalog (24)

Collatz Trajectory (179 steps to reach 1)

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

13,638,436 6,819,218 3,409,609 10,228,828 5,114,414 2,557,207 7,671,622 3,835,811 11,507,434 5,753,717 17,261,152 8,630,576 4,315,288 2,157,644 1,078,822 539,411 1,618,234 809,117 2,427,352 1,213,676 606,838 303,419 910,258 455,129 1,365,388 682,694 341,347 1,024,042 512,021 1,536,064 768,032 384,016 192,008 96,004 48,002 24,001 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422

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