λ
Harmonic Matrix

5,806,491

3 × 373 × 5189
Deficient Odd Composite

5,806,491 has digital root 6. The neighboring primes are 5806487 and 5806513; its proper-divisor sum differs from the starting integer by -3,848,742.

Prime Factor Structure

Factorization String 3 × 373 × 5189
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,764,240
Proper Divisor Sum 1,957,749
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5806487 ← → #5806513

Radix Representation

Decimal 5806491
Binary 10110001001100110011011 (23 bits)
Octal 0o26114633
Hexadecimal 0x58999B

Divisor Catalog (8)

1 3 373 1,119 5,189 15,567 1,935,497 5,806,491

Collatz Trajectory (183 steps to reach 1)

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

5,806,491 17,419,474 8,709,737 26,129,212 13,064,606 6,532,303 19,596,910 9,798,455 29,395,366 14,697,683 44,093,050 22,046,525 66,139,576 33,069,788 16,534,894 8,267,447 24,802,342 12,401,171 37,203,514 18,601,757 55,805,272 27,902,636 13,951,318 6,975,659 20,926,978 10,463,489 31,390,468 15,695,234 7,847,617 23,542,852 11,771,426 5,885,713 17,657,140 8,828,570 4,414,285 13,242,856 6,621,428 3,310,714 1,655,357 4,966,072 2,483,036 1,241,518 620,759 1,862,278 931,139 2,793,418 1,396,709 4,190,128 2,095,064 1,047,532 523,766 261,883 785,650 392,825 1,178,476 589,238 294,619 883,858 441,929 1,325,788

More profiles

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