33,200,767

2731 × 12157

33,200,767 factors as 2731 × 12157. Its 4 positive divisors give a proper-divisor sum of 14,889, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2731 × 12157

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 33,215,656

Proper Divisor Sum 14,889

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #33200749 ← → #33200789

Radix Representation

Decimal	33200767
Binary	1111110101001101001111111 (25 bits)
Octal	0o176515177
Hexadecimal	0x1FA9A7F

Divisor Catalog (4)

1 2,731 12,157 33,200,767

Collatz Trajectory (201 steps to reach 1)

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

33,200,767 99,602,302 49,801,151 149,403,454 74,701,727 224,105,182 112,052,591 336,157,774 168,078,887 504,236,662 252,118,331 756,354,994 378,177,497 1,134,532,492 567,266,246 283,633,123 850,899,370 425,449,685 1,276,349,056 638,174,528 319,087,264 159,543,632 79,771,816 39,885,908 19,942,954 9,971,477 29,914,432 14,957,216 7,478,608 3,739,304 1,869,652 934,826 467,413 1,402,240 701,120 350,560 175,280 87,640 43,820 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852

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