λ
Harmonic Matrix

5,048,689

59 × 85571
Deficient Odd Composite

5,048,689 has digital root 4. The neighboring primes are 5048671 and 5048713; its proper-divisor sum differs from the starting integer by -4,963,058.

Prime Factor Structure

Factorization String 59 × 85571
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,134,320
Proper Divisor Sum 85,631
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5048671 ← → #5048713

Radix Representation

Decimal 5048689
Binary 10011010000100101110001 (23 bits)
Octal 0o23204561
Hexadecimal 0x4D0971

Divisor Catalog (4)

1 59 85,571 5,048,689

Collatz Trajectory (51 steps to reach 1)

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

5,048,689 15,146,068 7,573,034 3,786,517 11,359,552 5,679,776 2,839,888 1,419,944 709,972 354,986 177,493 532,480 266,240 133,120 66,560 33,280 16,640 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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