λ
Ratio Atlas

2,805,225

3 × 52 × 113 × 331
Deficient Odd Composite

2,805,225 factors as 3 × 5^2 × 113 × 331. Its 24 positive divisors give a proper-divisor sum of 1,887,927, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 113 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,693,152
Proper Divisor Sum 1,887,927
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2805203 ← → #2805227

Radix Representation

Decimal 2805225
Binary 1010101100110111101001 (22 bits)
Octal 0o12546751
Hexadecimal 0x2ACDE9

Divisor Catalog (24)

1 3 5 15 25 75 113 331 339 565 993 1,655 1,695 2,825 4,965 8,275 8,475 24,825 37,403 112,209 187,015 561,045 935,075 2,805,225

Collatz Trajectory (107 steps to reach 1)

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

2,805,225 8,415,676 4,207,838 2,103,919 6,311,758 3,155,879 9,467,638 4,733,819 14,201,458 7,100,729 21,302,188 10,651,094 5,325,547 15,976,642 7,988,321 23,964,964 11,982,482 5,991,241 17,973,724 8,986,862 4,493,431 13,480,294 6,740,147 20,220,442 10,110,221 30,330,664 15,165,332 7,582,666 3,791,333 11,374,000 5,687,000 2,843,500 1,421,750 710,875 2,132,626 1,066,313 3,198,940 1,599,470 799,735 2,399,206 1,199,603 3,598,810 1,799,405 5,398,216 2,699,108 1,349,554 674,777 2,024,332 1,012,166 506,083 1,518,250 759,125 2,277,376 1,138,688 569,344 284,672 142,336 71,168 35,584 17,792

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