λ
Prime Ledger

4,077,941

7 × 582563
Deficient Odd Composite

4,077,941 has the prime decomposition 7 × 582563. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 582563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,660,512
Proper Divisor Sum 582,571
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4077929 ← → #4077947

Radix Representation

Decimal 4077941
Binary 1111100011100101110101 (22 bits)
Octal 0o17434565
Hexadecimal 0x3E3975

Divisor Catalog (4)

1 7 582,563 4,077,941

Collatz Trajectory (105 steps to reach 1)

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

4,077,941 12,233,824 6,116,912 3,058,456 1,529,228 764,614 382,307 1,146,922 573,461 1,720,384 860,192 430,096 215,048 107,524 53,762 26,881 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

More profiles

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