λ
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Atlas › Integer Profiles › Node 43,318,600

43,318,600

23 × 52 × 13 × 16661
Abundant Even Composite

43,318,600 factors as 2^3 × 5^2 × 13 × 16661. Its 48 positive divisors give a proper-divisor sum of 65,151,020, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 16661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 108,469,620
Proper Divisor Sum 65,151,020
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #43318589 ← → #43318603

Radix Representation

Decimal 43318600
Binary 10100101001111110101001000 (26 bits)
Octal 0o245176510
Hexadecimal 0x294FD48

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 16,661 33,322 66,644 83,305 133,288 166,610 216,593 333,220 416,525 433,186 666,440 833,050 866,372 1,082,965 1,666,100 1,732,744 2,165,930 3,332,200 4,331,860 5,414,825 8,663,720 10,829,650 21,659,300 43,318,600

Collatz Trajectory (235 steps to reach 1)

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

43,318,600 21,659,300 10,829,650 5,414,825 16,244,476 8,122,238 4,061,119 12,183,358 6,091,679 18,275,038 9,137,519 27,412,558 13,706,279 41,118,838 20,559,419 61,678,258 30,839,129 92,517,388 46,258,694 23,129,347 69,388,042 34,694,021 104,082,064 52,041,032 26,020,516 13,010,258 6,505,129 19,515,388 9,757,694 4,878,847 14,636,542 7,318,271 21,954,814 10,977,407 32,932,222 16,466,111 49,398,334 24,699,167 74,097,502 37,048,751 111,146,254 55,573,127 166,719,382 83,359,691 250,079,074 125,039,537 375,118,612 187,559,306 93,779,653 281,338,960 140,669,480 70,334,740 35,167,370 17,583,685 52,751,056 26,375,528 13,187,764 6,593,882 3,296,941 9,890,824

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