λ
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Atlas › Integer Profiles › Node 43,438,340

43,438,340

22 × 5 × 11 × 47 × 4201
Abundant Even Composite

43,438,340 factors as 2^2 × 5 × 11 × 47 × 4201. Its 48 positive divisors give a proper-divisor sum of 58,216,444, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 47 × 4201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,654,784
Proper Divisor Sum 58,216,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #43438331 ← → #43438357

Radix Representation

Decimal 43438340
Binary 10100101101101000100000100 (26 bits)
Octal 0o245550404
Hexadecimal 0x296D104

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1,034 2,068 2,585 4,201 5,170 8,402 10,340 16,804 21,005 42,010 46,211 84,020 92,422 184,844 197,447 231,055 394,894 462,110 789,788 924,220 987,235 1,974,470 2,171,917 3,948,940 4,343,834 8,687,668 10,859,585 21,719,170 43,438,340

Collatz Trajectory (235 steps to reach 1)

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

43,438,340 21,719,170 10,859,585 32,578,756 16,289,378 8,144,689 24,434,068 12,217,034 6,108,517 18,325,552 9,162,776 4,581,388 2,290,694 1,145,347 3,436,042 1,718,021 5,154,064 2,577,032 1,288,516 644,258 322,129 966,388 483,194 241,597 724,792 362,396 181,198 90,599 271,798 135,899 407,698 203,849 611,548 305,774 152,887 458,662 229,331 687,994 343,997 1,031,992 515,996 257,998 128,999 386,998 193,499 580,498 290,249 870,748 435,374 217,687 653,062 326,531 979,594 489,797 1,469,392 734,696 367,348 183,674 91,837 275,512

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