λ
Harmonic Matrix

4,077,074

2 × 2038537
Deficient Even Composite

4,077,074 has digital root 2. The neighboring primes are 4077061 and 4077079; its proper-divisor sum differs from the starting integer by -2,038,534.

Prime Factor Structure

Factorization String 2 × 2038537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,115,614
Proper Divisor Sum 2,038,540
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4077061 ← → #4077079

Radix Representation

Decimal 4077074
Binary 1111100011011000010010 (22 bits)
Octal 0o17433022
Hexadecimal 0x3E3612

Divisor Catalog (4)

1 2 2,038,537 4,077,074

Collatz Trajectory (110 steps to reach 1)

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

4,077,074 2,038,537 6,115,612 3,057,806 1,528,903 4,586,710 2,293,355 6,880,066 3,440,033 10,320,100 5,160,050 2,580,025 7,740,076 3,870,038 1,935,019 5,805,058 2,902,529 8,707,588 4,353,794 2,176,897 6,530,692 3,265,346 1,632,673 4,898,020 2,449,010 1,224,505 3,673,516 1,836,758 918,379 2,755,138 1,377,569 4,132,708 2,066,354 1,033,177 3,099,532 1,549,766 774,883 2,324,650 1,162,325 3,486,976 1,743,488 871,744 435,872 217,936 108,968 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719

More profiles

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