5,824,593

3² × 227 × 2851

5,824,593 has digital root 9. The neighboring primes are 5824573 and 5824631; its proper-divisor sum differs from the starting integer by -3,195,858.

Prime Factor Structure

Factorization String 3^2 × 227 × 2851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,453,328

Proper Divisor Sum 2,628,735

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5824573 ← → #5824631

Radix Representation

Decimal	5824593
Binary	10110001110000001010001 (23 bits)
Octal	0o26160121
Hexadecimal	0x58E051

Divisor Catalog (12)

1 3 9 227 681 2,043 2,851 8,553 25,659 647,177 1,941,531 5,824,593

Collatz Trajectory (201 steps to reach 1)

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

5,824,593 17,473,780 8,736,890 4,368,445 13,105,336 6,552,668 3,276,334 1,638,167 4,914,502 2,457,251 7,371,754 3,685,877 11,057,632 5,528,816 2,764,408 1,382,204 691,102 345,551 1,036,654 518,327 1,554,982 777,491 2,332,474 1,166,237 3,498,712 1,749,356 874,678 437,339 1,312,018 656,009 1,968,028 984,014 492,007 1,476,022 738,011 2,214,034 1,107,017 3,321,052 1,660,526 830,263 2,490,790 1,245,395 3,736,186 1,868,093 5,604,280 2,802,140 1,401,070 700,535 2,101,606 1,050,803 3,152,410 1,576,205 4,728,616 2,364,308 1,182,154 591,077 1,773,232 886,616 443,308 221,654

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