λ
Harmonic Matrix

5,782,489

5782489
Deficient Odd Prime

5,782,489 has digital root 7. The neighboring primes are 5782477 and 5782519; its proper-divisor sum differs from the starting integer by -5,782,488.

Prime Factor Structure

Factorization String 5782489
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,782,490
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5782477 ← → #5782519

Radix Representation

Decimal 5782489
Binary 10110000011101111011001 (23 bits)
Octal 0o26035731
Hexadecimal 0x583BD9

Divisor Catalog (2)

Collatz Trajectory (121 steps to reach 1)

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

5,782,489 17,347,468 8,673,734 4,336,867 13,010,602 6,505,301 19,515,904 9,757,952 4,878,976 2,439,488 1,219,744 609,872 304,936 152,468 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118

More profiles

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