λ
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Atlas › Integer Profiles › Node 43,605,016

43,605,016

23 × 7 × 13 × 89 × 673
Abundant Even Composite

43,605,016 factors as 2^3 × 7 × 13 × 89 × 673. Its 64 positive divisors give a proper-divisor sum of 58,303,784, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 89 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 101,908,800
Proper Divisor Sum 58,303,784
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #43604993 ← → #43605041

Radix Representation

Decimal 43605016
Binary 10100110010101110000011000 (26 bits)
Octal 0o246256030
Hexadecimal 0x2995C18

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 26 28 52 56 89 91 104 178 182 356 364 623 673 712 728 1,157 1,246 1,346 2,314 2,492 2,692 4,628 4,711 4,984 5,384 8,099 8,749 9,256 9,422 16,198 17,498 18,844 32,396 34,996 37,688 59,897 61,243 64,792 69,992 119,794 122,486 239,588 244,972 419,279 479,176 489,944 778,661 838,558 1,557,322 1,677,116 3,114,644 3,354,232 5,450,627

Collatz Trajectory (204 steps to reach 1)

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

43,605,016 21,802,508 10,901,254 5,450,627 16,351,882 8,175,941 24,527,824 12,263,912 6,131,956 3,065,978 1,532,989 4,598,968 2,299,484 1,149,742 574,871 1,724,614 862,307 2,586,922 1,293,461 3,880,384 1,940,192 970,096 485,048 242,524 121,262 60,631 181,894 90,947 272,842 136,421 409,264 204,632 102,316 51,158 25,579 76,738 38,369 115,108 57,554 28,777 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684

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