3,027,825

3² × 5² × 13457

3,027,825 factors as 3^2 × 5^2 × 13457. Its 18 positive divisors give a proper-divisor sum of 2,395,749, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,423,574

Proper Divisor Sum 2,395,749

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3027823 ← → #3027839

Radix Representation

Decimal	3027825
Binary	1011100011001101110001 (22 bits)
Octal	0o13431561
Hexadecimal	0x2E3371

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 13,457 40,371 67,285 121,113 201,855 336,425 605,565 1,009,275 3,027,825

Collatz Trajectory (120 steps to reach 1)

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

3,027,825 9,083,476 4,541,738 2,270,869 6,812,608 3,406,304 1,703,152 851,576 425,788 212,894 106,447 319,342 159,671 479,014 239,507 718,522 359,261 1,077,784 538,892 269,446 134,723 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203

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