λ
Harmonic Matrix

4,842,038

2 × 347 × 6977
Deficient Even Composite

4,842,038 has digital root 2. The neighboring primes are 4842031 and 4842067; its proper-divisor sum differs from the starting integer by -2,399,044.

Prime Factor Structure

Factorization String 2 × 347 × 6977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,285,032
Proper Divisor Sum 2,442,994
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4842031 ← → #4842067

Radix Representation

Decimal 4842038
Binary 10010011110001000110110 (23 bits)
Octal 0o22361066
Hexadecimal 0x49E236

Divisor Catalog (8)

1 2 347 694 6,977 13,954 2,421,019 4,842,038

Collatz Trajectory (175 steps to reach 1)

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

4,842,038 2,421,019 7,263,058 3,631,529 10,894,588 5,447,294 2,723,647 8,170,942 4,085,471 12,256,414 6,128,207 18,384,622 9,192,311 27,576,934 13,788,467 41,365,402 20,682,701 62,048,104 31,024,052 15,512,026 7,756,013 23,268,040 11,634,020 5,817,010 2,908,505 8,725,516 4,362,758 2,181,379 6,544,138 3,272,069 9,816,208 4,908,104 2,454,052 1,227,026 613,513 1,840,540 920,270 460,135 1,380,406 690,203 2,070,610 1,035,305 3,105,916 1,552,958 776,479 2,329,438 1,164,719 3,494,158 1,747,079 5,241,238 2,620,619 7,861,858 3,930,929 11,792,788 5,896,394 2,948,197 8,844,592 4,422,296 2,211,148 1,105,574

More profiles

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