33,720,752

2⁴ × 13 × 162119

33,720,752 factors as 2^4 × 13 × 162119. Its 20 positive divisors give a proper-divisor sum of 36,639,328, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 162119

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 70,360,080

Proper Divisor Sum 36,639,328

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #33720751 ← → #33720781

Radix Representation

Decimal	33720752
Binary	10000000101000100110110000 (26 bits)
Octal	0o200504660
Hexadecimal	0x20289B0

Divisor Catalog (20)

Collatz Trajectory (108 steps to reach 1)

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

33,720,752 16,860,376 8,430,188 4,215,094 2,107,547 6,322,642 3,161,321 9,483,964 4,741,982 2,370,991 7,112,974 3,556,487 10,669,462 5,334,731 16,004,194 8,002,097 24,006,292 12,003,146 6,001,573 18,004,720 9,002,360 4,501,180 2,250,590 1,125,295 3,375,886 1,687,943 5,063,830 2,531,915 7,595,746 3,797,873 11,393,620 5,696,810 2,848,405 8,545,216 4,272,608 2,136,304 1,068,152 534,076 267,038 133,519 400,558 200,279 600,838 300,419 901,258 450,629 1,351,888 675,944 337,972 168,986 84,493 253,480 126,740 63,370 31,685 95,056 47,528 23,764 11,882 5,941

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