λ
Ratio Atlas

3,110,138

2 × 677 × 2297
Deficient Even Composite

3,110,138 factors as 2 × 677 × 2297. Its 8 positive divisors give a proper-divisor sum of 1,563,994, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 677 × 2297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,674,132
Proper Divisor Sum 1,563,994
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3110101 ← → #3110143

Radix Representation

Decimal 3110138
Binary 1011110111010011111010 (22 bits)
Octal 0o13672372
Hexadecimal 0x2F74FA

Divisor Catalog (8)

1 2 677 1,354 2,297 4,594 1,555,069 3,110,138

Collatz Trajectory (151 steps to reach 1)

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

3,110,138 1,555,069 4,665,208 2,332,604 1,166,302 583,151 1,749,454 874,727 2,624,182 1,312,091 3,936,274 1,968,137 5,904,412 2,952,206 1,476,103 4,428,310 2,214,155 6,642,466 3,321,233 9,963,700 4,981,850 2,490,925 7,472,776 3,736,388 1,868,194 934,097 2,802,292 1,401,146 700,573 2,101,720 1,050,860 525,430 262,715 788,146 394,073 1,182,220 591,110 295,555 886,666 443,333 1,330,000 665,000 332,500 166,250 83,125 249,376 124,688 62,344 31,172 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548

More profiles

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