5,825,660

2² × 5 × 59 × 4937

5,825,660 factors as 2^2 × 5 × 59 × 4937. Its 24 positive divisors give a proper-divisor sum of 6,618,100, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 4937

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,443,760

Proper Divisor Sum 6,618,100

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5825653 ← → #5825669

Radix Representation

Decimal	5825660
Binary	10110001110010001111100 (23 bits)
Octal	0o26162174
Hexadecimal	0x58E47C

Divisor Catalog (24)

1 2 4 5 10 20 59 118 236 295 590 1,180 4,937 9,874 19,748 24,685 49,370 98,740 291,283 582,566 1,165,132 1,456,415 2,912,830 5,825,660

Collatz Trajectory (90 steps to reach 1)

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

5,825,660 2,912,830 1,456,415 4,369,246 2,184,623 6,553,870 3,276,935 9,830,806 4,915,403 14,746,210 7,373,105 22,119,316 11,059,658 5,529,829 16,589,488 8,294,744 4,147,372 2,073,686 1,036,843 3,110,530 1,555,265 4,665,796 2,332,898 1,166,449 3,499,348 1,749,674 874,837 2,624,512 1,312,256 656,128 328,064 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172

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