λ
Harmonic Matrix

5,240,787

3 × 1746929
Deficient Odd Composite

5,240,787 has digital root 6. The neighboring primes are 5240783 and 5240819; its proper-divisor sum differs from the starting integer by -3,493,854.

Prime Factor Structure

Factorization String 3 × 1746929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,987,720
Proper Divisor Sum 1,746,933
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5240783 ← → #5240819

Radix Representation

Decimal 5240787
Binary 10011111111011111010011 (23 bits)
Octal 0o23773723
Hexadecimal 0x4FF7D3

Divisor Catalog (4)

1 3 1,746,929 5,240,787

Collatz Trajectory (157 steps to reach 1)

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

5,240,787 15,722,362 7,861,181 23,583,544 11,791,772 5,895,886 2,947,943 8,843,830 4,421,915 13,265,746 6,632,873 19,898,620 9,949,310 4,974,655 14,923,966 7,461,983 22,385,950 11,192,975 33,578,926 16,789,463 50,368,390 25,184,195 75,552,586 37,776,293 113,328,880 56,664,440 28,332,220 14,166,110 7,083,055 21,249,166 10,624,583 31,873,750 15,936,875 47,810,626 23,905,313 71,715,940 35,857,970 17,928,985 53,786,956 26,893,478 13,446,739 40,340,218 20,170,109 60,510,328 30,255,164 15,127,582 7,563,791 22,691,374 11,345,687 34,037,062 17,018,531 51,055,594 25,527,797 76,583,392 38,291,696 19,145,848 9,572,924 4,786,462 2,393,231 7,179,694

More profiles

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