λ
Harmonic Matrix

5,609,393

43 × 73 × 1787
Deficient Odd Composite

5,609,393 has digital root 8. The neighboring primes are 5609381 and 5609399; its proper-divisor sum differs from the starting integer by -5,397,058.

Prime Factor Structure

Factorization String 43 × 73 × 1787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,821,728
Proper Divisor Sum 212,335
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5609381 ← → #5609399

Radix Representation

Decimal 5609393
Binary 10101011001011110110001 (23 bits)
Octal 0o25313661
Hexadecimal 0x5597B1

Divisor Catalog (8)

1 43 73 1,787 3,139 76,841 130,451 5,609,393

Collatz Trajectory (170 steps to reach 1)

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

5,609,393 16,828,180 8,414,090 4,207,045 12,621,136 6,310,568 3,155,284 1,577,642 788,821 2,366,464 1,183,232 591,616 295,808 147,904 73,952 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992

More profiles

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