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Atlas › Integer Profiles › Node 13,452,838

13,452,838

2 × 7 × 23 × 41 × 1019
Deficient Even Composite

13,452,838 factors as 2 × 7 × 23 × 41 × 1019. Its 32 positive divisors give a proper-divisor sum of 11,223,002, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 41 × 1019
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,675,840
Proper Divisor Sum 11,223,002
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13452821 ← → #13452841

Radix Representation

Decimal 13452838
Binary 110011010100011000100110 (24 bits)
Octal 0o63243046
Hexadecimal 0xCD4626

Divisor Catalog (32)

1 2 7 14 23 41 46 82 161 287 322 574 943 1,019 1,886 2,038 6,601 7,133 13,202 14,266 23,437 41,779 46,874 83,558 164,059 292,453 328,118 584,906 960,917 1,921,834 6,726,419 13,452,838

Collatz Trajectory (179 steps to reach 1)

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

13,452,838 6,726,419 20,179,258 10,089,629 30,268,888 15,134,444 7,567,222 3,783,611 11,350,834 5,675,417 17,026,252 8,513,126 4,256,563 12,769,690 6,384,845 19,154,536 9,577,268 4,788,634 2,394,317 7,182,952 3,591,476 1,795,738 897,869 2,693,608 1,346,804 673,402 336,701 1,010,104 505,052 252,526 126,263 378,790 189,395 568,186 284,093 852,280 426,140 213,070 106,535 319,606 159,803 479,410 239,705 719,116 359,558 179,779 539,338 269,669 809,008 404,504 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221

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