λ
Harmonic Matrix

5,037,027

3 × 1679009
Deficient Odd Composite

5,037,027 has digital root 6. The neighboring primes are 5037017 and 5037029; its proper-divisor sum differs from the starting integer by -3,358,014.

Prime Factor Structure

Factorization String 3 × 1679009
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,716,040
Proper Divisor Sum 1,679,013
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5037017 ← → #5037029

Radix Representation

Decimal 5037027
Binary 10011001101101111100011 (23 bits)
Octal 0o23155743
Hexadecimal 0x4CDBE3

Divisor Catalog (4)

1 3 1,679,009 5,037,027

Collatz Trajectory (157 steps to reach 1)

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

5,037,027 15,111,082 7,555,541 22,666,624 11,333,312 5,666,656 2,833,328 1,416,664 708,332 354,166 177,083 531,250 265,625 796,876 398,438 199,219 597,658 298,829 896,488 448,244 224,122 112,061 336,184 168,092 84,046 42,023 126,070 63,035 189,106 94,553 283,660 141,830 70,915 212,746 106,373 319,120 159,560 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951

More profiles

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