λ
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Atlas › Integer Profiles › Node 59,113,636

59,113,636

22 × 19 × 41 × 61 × 311
Deficient Even Composite

59,113,636 factors as 2^2 × 19 × 41 × 61 × 311. Its 48 positive divisors give a proper-divisor sum of 54,629,084, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 41 × 61 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 113,742,720
Proper Divisor Sum 54,629,084
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59113633 ← → #59113667

Radix Representation

Decimal 59113636
Binary 11100001100000000010100100 (26 bits)
Octal 0o341400244
Hexadecimal 0x38600A4

Divisor Catalog (48)

1 2 4 19 38 41 61 76 82 122 164 244 311 622 779 1,159 1,244 1,558 2,318 2,501 3,116 4,636 5,002 5,909 10,004 11,818 12,751 18,971 23,636 25,502 37,942 47,519 51,004 75,884 95,038 190,076 242,269 360,449 484,538 720,898 777,811 969,076 1,441,796 1,555,622 3,111,244 14,778,409 29,556,818 59,113,636

Collatz Trajectory (163 steps to reach 1)

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

59,113,636 29,556,818 14,778,409 44,335,228 22,167,614 11,083,807 33,251,422 16,625,711 49,877,134 24,938,567 74,815,702 37,407,851 112,223,554 56,111,777 168,335,332 84,167,666 42,083,833 126,251,500 63,125,750 31,562,875 94,688,626 47,344,313 142,032,940 71,016,470 35,508,235 106,524,706 53,262,353 159,787,060 79,893,530 39,946,765 119,840,296 59,920,148 29,960,074 14,980,037 44,940,112 22,470,056 11,235,028 5,617,514 2,808,757 8,426,272 4,213,136 2,106,568 1,053,284 526,642 263,321 789,964 394,982 197,491 592,474 296,237 888,712 444,356 222,178 111,089 333,268 166,634 83,317 249,952 124,976 62,488

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