2,735,289

3⁴ × 33769

2,735,289 factors as 3^4 × 33769. Its 10 positive divisors give a proper-divisor sum of 1,350,881, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^4 × 33769

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 4,086,170

Proper Divisor Sum 1,350,881

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2735287 ← → #2735323

Radix Representation

Decimal	2735289
Binary	1010011011110010111001 (22 bits)
Octal	0o12336271
Hexadecimal	0x29BCB9

Divisor Catalog (10)

1 3 9 27 81 33,769 101,307 303,921 911,763 2,735,289

Collatz Trajectory (107 steps to reach 1)

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

2,735,289 8,205,868 4,102,934 2,051,467 6,154,402 3,077,201 9,231,604 4,615,802 2,307,901 6,923,704 3,461,852 1,730,926 865,463 2,596,390 1,298,195 3,894,586 1,947,293 5,841,880 2,920,940 1,460,470 730,235 2,190,706 1,095,353 3,286,060 1,643,030 821,515 2,464,546 1,232,273 3,696,820 1,848,410 924,205 2,772,616 1,386,308 693,154 346,577 1,039,732 519,866 259,933 779,800 389,900 194,950 97,475 292,426 146,213 438,640 219,320 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350

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