λ
Harmonic Matrix

5,040,017

857 × 5881
Deficient Odd Composite

5,040,017 has digital root 8. The neighboring primes are 5039999 and 5040031; its proper-divisor sum differs from the starting integer by -5,033,278.

Prime Factor Structure

Factorization String 857 × 5881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,046,756
Proper Divisor Sum 6,739
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5039999 ← → #5040031

Radix Representation

Decimal 5040017
Binary 10011001110011110010001 (23 bits)
Octal 0o23163621
Hexadecimal 0x4CE791

Divisor Catalog (4)

1 857 5,881 5,040,017

Collatz Trajectory (281 steps to reach 1)

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

5,040,017 15,120,052 7,560,026 3,780,013 11,340,040 5,670,020 2,835,010 1,417,505 4,252,516 2,126,258 1,063,129 3,189,388 1,594,694 797,347 2,392,042 1,196,021 3,588,064 1,794,032 897,016 448,508 224,254 112,127 336,382 168,191 504,574 252,287 756,862 378,431 1,135,294 567,647 1,702,942 851,471 2,554,414 1,277,207 3,831,622 1,915,811 5,747,434 2,873,717 8,621,152 4,310,576 2,155,288 1,077,644 538,822 269,411 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806

More profiles

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