36,386,829

3² × 67 × 60343

36,386,829 factors as 3^2 × 67 × 60343. Its 12 positive divisors give a proper-divisor sum of 16,957,267, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3^2 × 67 × 60343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 53,344,096

Proper Divisor Sum 16,957,267

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36386827 ← → #36386863

Radix Representation

Decimal	36386829
Binary	10001010110011100000001101 (26 bits)
Octal	0o212634015
Hexadecimal	0x22B380D

Divisor Catalog (12)

1 3 9 67 201 603 60,343 181,029 543,087 4,042,981 12,128,943 36,386,829

Collatz Trajectory (90 steps to reach 1)

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

36,386,829 109,160,488 54,580,244 27,290,122 13,645,061 40,935,184 20,467,592 10,233,796 5,116,898 2,558,449 7,675,348 3,837,674 1,918,837 5,756,512 2,878,256 1,439,128 719,564 359,782 179,891 539,674 269,837 809,512 404,756 202,378 101,189 303,568 151,784 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179

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