λ
Prime Ledger

3,112,918

2 × 29 × 191 × 281
Deficient Even Composite

3,112,918 has the prime decomposition 2 × 29 × 191 × 281. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 191 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,872,960
Proper Divisor Sum 1,760,042
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3112913 ← → #3112919

Radix Representation

Decimal 3112918
Binary 1011110111111111010110 (22 bits)
Octal 0o13677726
Hexadecimal 0x2F7FD6

Divisor Catalog (16)

1 2 29 58 191 281 382 562 5,539 8,149 11,078 16,298 53,671 107,342 1,556,459 3,112,918

Collatz Trajectory (133 steps to reach 1)

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

3,112,918 1,556,459 4,669,378 2,334,689 7,004,068 3,502,034 1,751,017 5,253,052 2,626,526 1,313,263 3,939,790 1,969,895 5,909,686 2,954,843 8,864,530 4,432,265 13,296,796 6,648,398 3,324,199 9,972,598 4,986,299 14,958,898 7,479,449 22,438,348 11,219,174 5,609,587 16,828,762 8,414,381 25,243,144 12,621,572 6,310,786 3,155,393 9,466,180 4,733,090 2,366,545 7,099,636 3,549,818 1,774,909 5,324,728 2,662,364 1,331,182 665,591 1,996,774 998,387 2,995,162 1,497,581 4,492,744 2,246,372 1,123,186 561,593 1,684,780 842,390 421,195 1,263,586 631,793 1,895,380 947,690 473,845 1,421,536 710,768

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