13,638,428

2² × 19 × 179453

13,638,428 factors as 2^2 × 19 × 179453. Its 12 positive divisors give a proper-divisor sum of 11,485,132, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 179453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 25,123,560

Proper Divisor Sum 11,485,132

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13638421 ← → #13638451

Radix Representation

Decimal	13638428
Binary	110100000001101100011100 (24 bits)
Octal	0o64015434
Hexadecimal	0xD01B1C

Divisor Catalog (12)

1 2 4 19 38 76 179,453 358,906 717,812 3,409,607 6,819,214 13,638,428

Collatz Trajectory (179 steps to reach 1)

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

13,638,428 6,819,214 3,409,607 10,228,822 5,114,411 15,343,234 7,671,617 23,014,852 11,507,426 5,753,713 17,261,140 8,630,570 4,315,285 12,945,856 6,472,928 3,236,464 1,618,232 809,116 404,558 202,279 606,838 303,419 910,258 455,129 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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