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Atlas › Integer Profiles › Node 41,399,232

41,399,232

26 × 3 × 7 × 30803
Abundant Even Composite

41,399,232 factors as 2^6 × 3 × 7 × 30803. Its 56 positive divisors give a proper-divisor sum of 83,788,224, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 30803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 125,187,456
Proper Divisor Sum 83,788,224
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #41399231 ← → #41399243

Radix Representation

Decimal 41399232
Binary 10011101111011001111000000 (26 bits)
Octal 0o235731700
Hexadecimal 0x277B3C0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 30,803 61,606 92,409 123,212 184,818 215,621 246,424 369,636 431,242 492,848 646,863 739,272 862,484 985,696 1,293,726 1,478,544 1,724,968 1,971,392 2,587,452 2,957,088 3,449,936 5,174,904 5,914,176 6,899,872 10,349,808 13,799,744 20,699,616 41,399,232

Collatz Trajectory (160 steps to reach 1)

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

41,399,232 20,699,616 10,349,808 5,174,904 2,587,452 1,293,726 646,863 1,940,590 970,295 2,910,886 1,455,443 4,366,330 2,183,165 6,549,496 3,274,748 1,637,374 818,687 2,456,062 1,228,031 3,684,094 1,842,047 5,526,142 2,763,071 8,289,214 4,144,607 12,433,822 6,216,911 18,650,734 9,325,367 27,976,102 13,988,051 41,964,154 20,982,077 62,946,232 31,473,116 15,736,558 7,868,279 23,604,838 11,802,419 35,407,258 17,703,629 53,110,888 26,555,444 13,277,722 6,638,861 19,916,584 9,958,292 4,979,146 2,489,573 7,468,720 3,734,360 1,867,180 933,590 466,795 1,400,386 700,193 2,100,580 1,050,290 525,145 1,575,436

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