λ
Prime Ledger

4,106,427

3 × 13 × 71 × 1483
Deficient Odd Composite

4,106,427 has the prime decomposition 3 × 13 × 71 × 1483. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 71 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,983,488
Proper Divisor Sum 1,877,061
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4106423 ← → #4106441

Radix Representation

Decimal 4106427
Binary 1111101010100010111011 (22 bits)
Octal 0o17524273
Hexadecimal 0x3EA8BB

Divisor Catalog (16)

1 3 13 39 71 213 923 1,483 2,769 4,449 19,279 57,837 105,293 315,879 1,368,809 4,106,427

Collatz Trajectory (154 steps to reach 1)

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

4,106,427 12,319,282 6,159,641 18,478,924 9,239,462 4,619,731 13,859,194 6,929,597 20,788,792 10,394,396 5,197,198 2,598,599 7,795,798 3,897,899 11,693,698 5,846,849 17,540,548 8,770,274 4,385,137 13,155,412 6,577,706 3,288,853 9,866,560 4,933,280 2,466,640 1,233,320 616,660 308,330 154,165 462,496 231,248 115,624 57,812 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728

More profiles

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