λ
Harmonic Matrix

5,794,817

7 × 41 × 61 × 331
Deficient Odd Composite

5,794,817 has digital root 5. The neighboring primes are 5794801 and 5794819; its proper-divisor sum differs from the starting integer by -4,673,410.

Prime Factor Structure

Factorization String 7 × 41 × 61 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,916,224
Proper Divisor Sum 1,121,407
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5794801 ← → #5794819

Radix Representation

Decimal 5794817
Binary 10110000110110000000001 (23 bits)
Octal 0o26066001
Hexadecimal 0x586C01

Divisor Catalog (16)

1 7 41 61 287 331 427 2,317 2,501 13,571 17,507 20,191 94,997 141,337 827,831 5,794,817

Collatz Trajectory (152 steps to reach 1)

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

5,794,817 17,384,452 8,692,226 4,346,113 13,038,340 6,519,170 3,259,585 9,778,756 4,889,378 2,444,689 7,334,068 3,667,034 1,833,517 5,500,552 2,750,276 1,375,138 687,569 2,062,708 1,031,354 515,677 1,547,032 773,516 386,758 193,379 580,138 290,069 870,208 435,104 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772

More profiles

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