36,724,692

2² × 3 × 17 × 180023

36,724,692 factors as 2^2 × 3 × 17 × 180023. Its 24 positive divisors give a proper-divisor sum of 54,007,404, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 180023

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 90,732,096

Proper Divisor Sum 54,007,404

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #36724691 ← → #36724747

Radix Representation

Decimal	36724692
Binary	10001100000101111111010100 (26 bits)
Octal	0o214057724
Hexadecimal	0x2305FD4

Divisor Catalog (24)

Collatz Trajectory (108 steps to reach 1)

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

36,724,692 18,362,346 9,181,173 27,543,520 13,771,760 6,885,880 3,442,940 1,721,470 860,735 2,582,206 1,291,103 3,873,310 1,936,655 5,809,966 2,904,983 8,714,950 4,357,475 13,072,426 6,536,213 19,608,640 9,804,320 4,902,160 2,451,080 1,225,540 612,770 306,385 919,156 459,578 229,789 689,368 344,684 172,342 86,171 258,514 129,257 387,772 193,886 96,943 290,830 145,415 436,246 218,123 654,370 327,185 981,556 490,778 245,389 736,168 368,084 184,042 92,021 276,064 138,032 69,016 34,508 17,254 8,627 25,882 12,941 38,824

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