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Atlas › Integer Profiles › Node 13,634,005

13,634,005

5 × 72 × 11 × 5059
Deficient Odd Composite

13,634,005 factors as 5 × 7^2 × 11 × 5059. Its 24 positive divisors give a proper-divisor sum of 7,132,235, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 11 × 5059
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,766,240
Proper Divisor Sum 7,132,235
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13633993 ← → #13634011

Radix Representation

Decimal 13634005
Binary 110100000000100111010101 (24 bits)
Octal 0o64004725
Hexadecimal 0xD009D5

Divisor Catalog (24)

1 5 7 11 35 49 55 77 245 385 539 2,695 5,059 25,295 35,413 55,649 177,065 247,891 278,245 389,543 1,239,455 1,947,715 2,726,801 13,634,005

Collatz Trajectory (130 steps to reach 1)

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

13,634,005 40,902,016 20,451,008 10,225,504 5,112,752 2,556,376 1,278,188 639,094 319,547 958,642 479,321 1,437,964 718,982 359,491 1,078,474 539,237 1,617,712 808,856 404,428 202,214 101,107 303,322 151,661 454,984 227,492 113,746 56,873 170,620 85,310 42,655 127,966 63,983 191,950 95,975 287,926 143,963 431,890 215,945 647,836 323,918 161,959 485,878 242,939 728,818 364,409 1,093,228 546,614 273,307 819,922 409,961 1,229,884 614,942 307,471 922,414 461,207 1,383,622 691,811 2,075,434 1,037,717 3,113,152

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