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Atlas › Integer Profiles › Node 36,976,248

36,976,248

23 × 32 × 61 × 8419
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 61 × 8419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,797,800
Proper Divisor Sum 64,821,552
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36976243 ← → #36976253

Radix Representation

Decimal 36976248
Binary 10001101000011011001111000 (26 bits)
Octal 0o215033170
Hexadecimal 0x2343678

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1,098 1,464 2,196 4,392 8,419 16,838 25,257 33,676 50,514 67,352 75,771 101,028 151,542 202,056 303,084 513,559 606,168 1,027,118 1,540,677 2,054,236 3,081,354 4,108,472 4,622,031 6,162,708 9,244,062 12,325,416 18,488,124 36,976,248

Collatz Trajectory (134 steps to reach 1)

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

36,976,248 18,488,124 9,244,062 4,622,031 13,866,094 6,933,047 20,799,142 10,399,571 31,198,714 15,599,357 46,798,072 23,399,036 11,699,518 5,849,759 17,549,278 8,774,639 26,323,918 13,161,959 39,485,878 19,742,939 59,228,818 29,614,409 88,843,228 44,421,614 22,210,807 66,632,422 33,316,211 99,948,634 49,974,317 149,922,952 74,961,476 37,480,738 18,740,369 56,221,108 28,110,554 14,055,277 42,165,832 21,082,916 10,541,458 5,270,729 15,812,188 7,906,094 3,953,047 11,859,142 5,929,571 17,788,714 8,894,357 26,683,072 13,341,536 6,670,768 3,335,384 1,667,692 833,846 416,923 1,250,770 625,385 1,876,156 938,078 469,039 1,407,118

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