36,001,084

2² × 7² × 83 × 2213

36,001,084 factors as 2^2 × 7^2 × 83 × 2213. Its 36 positive divisors give a proper-divisor sum of 38,203,340, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 83 × 2213

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 74,204,424

Proper Divisor Sum 38,203,340

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #36001079 ← → #36001099

Radix Representation

Decimal	36001084
Binary	10001001010101010100111100 (26 bits)
Octal	0o211252474
Hexadecimal	0x225553C

Divisor Catalog (36)

Collatz Trajectory (258 steps to reach 1)

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

36,001,084 18,000,542 9,000,271 27,000,814 13,500,407 40,501,222 20,250,611 60,751,834 30,375,917 91,127,752 45,563,876 22,781,938 11,390,969 34,172,908 17,086,454 8,543,227 25,629,682 12,814,841 38,444,524 19,222,262 9,611,131 28,833,394 14,416,697 43,250,092 21,625,046 10,812,523 32,437,570 16,218,785 48,656,356 24,328,178 12,164,089 36,492,268 18,246,134 9,123,067 27,369,202 13,684,601 41,053,804 20,526,902 10,263,451 30,790,354 15,395,177 46,185,532 23,092,766 11,546,383 34,639,150 17,319,575 51,958,726 25,979,363 77,938,090 38,969,045 116,907,136 58,453,568 29,226,784 14,613,392 7,306,696 3,653,348 1,826,674 913,337 2,740,012 1,370,006

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