λ
Harmonic Matrix

4,063,149

33 × 61 × 2467
Deficient Odd Composite

4,063,149 has digital root 9. The neighboring primes are 4063133 and 4063159; its proper-divisor sum differs from the starting integer by -2,005,658.

Prime Factor Structure

Factorization String 3^3 × 61 × 2467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,120,640
Proper Divisor Sum 2,057,491
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4063133 ← → #4063159

Radix Representation

Decimal 4063149
Binary 1111011111111110101101 (22 bits)
Octal 0o17377655
Hexadecimal 0x3DFFAD

Divisor Catalog (16)

1 3 9 27 61 183 549 1,647 2,467 7,401 22,203 66,609 150,487 451,461 1,354,383 4,063,149

Collatz Trajectory (84 steps to reach 1)

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

4,063,149 12,189,448 6,094,724 3,047,362 1,523,681 4,571,044 2,285,522 1,142,761 3,428,284 1,714,142 857,071 2,571,214 1,285,607 3,856,822 1,928,411 5,785,234 2,892,617 8,677,852 4,338,926 2,169,463 6,508,390 3,254,195 9,762,586 4,881,293 14,643,880 7,321,940 3,660,970 1,830,485 5,491,456 2,745,728 1,372,864 686,432 343,216 171,608 85,804 42,902 21,451 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300

More profiles

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