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Atlas › Integer Profiles › Node 36,915,642

36,915,642

2 × 33 × 107 × 6389
Abundant Even Composite

36,915,642 factors as 2 × 3^3 × 107 × 6389. Its 32 positive divisors give a proper-divisor sum of 45,898,758, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 107 × 6389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,814,400
Proper Divisor Sum 45,898,758
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36915583 ← → #36915647

Radix Representation

Decimal 36915642
Binary 10001100110100100110111010 (26 bits)
Octal 0o214644672
Hexadecimal 0x23349BA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 107 214 321 642 963 1,926 2,889 5,778 6,389 12,778 19,167 38,334 57,501 115,002 172,503 345,006 683,623 1,367,246 2,050,869 4,101,738 6,152,607 12,305,214 18,457,821 36,915,642

Collatz Trajectory (214 steps to reach 1)

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

36,915,642 18,457,821 55,373,464 27,686,732 13,843,366 6,921,683 20,765,050 10,382,525 31,147,576 15,573,788 7,786,894 3,893,447 11,680,342 5,840,171 17,520,514 8,760,257 26,280,772 13,140,386 6,570,193 19,710,580 9,855,290 4,927,645 14,782,936 7,391,468 3,695,734 1,847,867 5,543,602 2,771,801 8,315,404 4,157,702 2,078,851 6,236,554 3,118,277 9,354,832 4,677,416 2,338,708 1,169,354 584,677 1,754,032 877,016 438,508 219,254 109,627 328,882 164,441 493,324 246,662 123,331 369,994 184,997 554,992 277,496 138,748 69,374 34,687 104,062 52,031 156,094 78,047 234,142

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