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Atlas › Integer Profiles › Node 13,633,384

13,633,384

23 × 47 × 101 × 359
Deficient Even Composite

13,633,384 factors as 2^3 × 47 × 101 × 359. Its 32 positive divisors give a proper-divisor sum of 12,805,016, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 101 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,438,400
Proper Divisor Sum 12,805,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13633381 ← → #13633387

Radix Representation

Decimal 13633384
Binary 110100000000011101101000 (24 bits)
Octal 0o64003550
Hexadecimal 0xD00768

Divisor Catalog (32)

1 2 4 8 47 94 101 188 202 359 376 404 718 808 1,436 2,872 4,747 9,494 16,873 18,988 33,746 36,259 37,976 67,492 72,518 134,984 145,036 290,072 1,704,173 3,408,346 6,816,692 13,633,384

Collatz Trajectory (86 steps to reach 1)

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

13,633,384 6,816,692 3,408,346 1,704,173 5,112,520 2,556,260 1,278,130 639,065 1,917,196 958,598 479,299 1,437,898 718,949 2,156,848 1,078,424 539,212 269,606 134,803 404,410 202,205 606,616 303,308 151,654 75,827 227,482 113,741 341,224 170,612 85,306 42,653 127,960 63,980 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67

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