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Atlas › Integer Profiles › Node 36,799,256

36,799,256

23 × 13 × 331 × 1069
Abundant Even Composite

36,799,256 factors as 2^3 × 13 × 331 × 1069. Its 32 positive divisors give a proper-divisor sum of 37,801,144, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 331 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,600,400
Proper Divisor Sum 37,801,144
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36799253 ← → #36799283

Radix Representation

Decimal 36799256
Binary 10001100011000001100011000 (26 bits)
Octal 0o214301430
Hexadecimal 0x2318318

Divisor Catalog (32)

1 2 4 8 13 26 52 104 331 662 1,069 1,324 2,138 2,648 4,276 4,303 8,552 8,606 13,897 17,212 27,794 34,424 55,588 111,176 353,839 707,678 1,415,356 2,830,712 4,599,907 9,199,814 18,399,628 36,799,256

Collatz Trajectory (165 steps to reach 1)

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

36,799,256 18,399,628 9,199,814 4,599,907 13,799,722 6,899,861 20,699,584 10,349,792 5,174,896 2,587,448 1,293,724 646,862 323,431 970,294 485,147 1,455,442 727,721 2,183,164 1,091,582 545,791 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

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