33,765,860

2² × 5 × 29 × 58217

33,765,860 factors as 2^2 × 5 × 29 × 58217. Its 24 positive divisors give a proper-divisor sum of 39,588,820, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 58217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 73,354,680

Proper Divisor Sum 39,588,820

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #33765857 ← → #33765899

Radix Representation

Decimal	33765860
Binary	10000000110011100111100100 (26 bits)
Octal	0o200634744
Hexadecimal	0x20339E4

Divisor Catalog (24)

Collatz Trajectory (157 steps to reach 1)

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

33,765,860 16,882,930 8,441,465 25,324,396 12,662,198 6,331,099 18,993,298 9,496,649 28,489,948 14,244,974 7,122,487 21,367,462 10,683,731 32,051,194 16,025,597 48,076,792 24,038,396 12,019,198 6,009,599 18,028,798 9,014,399 27,043,198 13,521,599 40,564,798 20,282,399 60,847,198 30,423,599 91,270,798 45,635,399 136,906,198 68,453,099 205,359,298 102,679,649 308,038,948 154,019,474 77,009,737 231,029,212 115,514,606 57,757,303 173,271,910 86,635,955 259,907,866 129,953,933 389,861,800 194,930,900 97,465,450 48,732,725 146,198,176 73,099,088 36,549,544 18,274,772 9,137,386 4,568,693 13,706,080 6,853,040 3,426,520 1,713,260 856,630 428,315 1,284,946

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