33,765,822

2 × 3⁶ × 23159

33,765,822 factors as 2 × 3^6 × 23159. Its 28 positive divisors give a proper-divisor sum of 42,175,818, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 23159

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 75,941,640

Proper Divisor Sum 42,175,818

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #33765761 ← → #33765827

Radix Representation

Decimal	33765822
Binary	10000000110011100110111110 (26 bits)
Octal	0o200634676
Hexadecimal	0x20339BE

Divisor Catalog (28)

Collatz Trajectory (170 steps to reach 1)

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

33,765,822 16,882,911 50,648,734 25,324,367 75,973,102 37,986,551 113,959,654 56,979,827 170,939,482 85,469,741 256,409,224 128,204,612 64,102,306 32,051,153 96,153,460 48,076,730 24,038,365 72,115,096 36,057,548 18,028,774 9,014,387 27,043,162 13,521,581 40,564,744 20,282,372 10,141,186 5,070,593 15,211,780 7,605,890 3,802,945 11,408,836 5,704,418 2,852,209 8,556,628 4,278,314 2,139,157 6,417,472 3,208,736 1,604,368 802,184 401,092 200,546 100,273 300,820 150,410 75,205 225,616 112,808 56,404 28,202 14,101 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992

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