2,794,825

5² × 11 × 10163

2,794,825 factors as 5^2 × 11 × 10163. Its 12 positive divisors give a proper-divisor sum of 986,183, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 10163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,781,008

Proper Divisor Sum 986,183

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2794811 ← → #2794879

Radix Representation

Decimal	2794825
Binary	1010101010010101001001 (22 bits)
Octal	0o12522511
Hexadecimal	0x2AA549

Divisor Catalog (12)

1 5 11 25 55 275 10,163 50,815 111,793 254,075 558,965 2,794,825

Collatz Trajectory (81 steps to reach 1)

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

2,794,825 8,384,476 4,192,238 2,096,119 6,288,358 3,144,179 9,432,538 4,716,269 14,148,808 7,074,404 3,537,202 1,768,601 5,305,804 2,652,902 1,326,451 3,979,354 1,989,677 5,969,032 2,984,516 1,492,258 746,129 2,238,388 1,119,194 559,597 1,678,792 839,396 419,698 209,849 629,548 314,774 157,387 472,162 236,081 708,244 354,122 177,061 531,184 265,592 132,796 66,398 33,199 99,598 49,799 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728

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