53,825,628

2² × 3 × 4485469

53,825,628 factors as 2^2 × 3 × 4485469. Its 12 positive divisors give a proper-divisor sum of 71,767,532, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 4485469

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 125,593,160

Proper Divisor Sum 71,767,532

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #53825609 ← → #53825647

Radix Representation

Decimal	53825628
Binary	11001101010101000001011100 (26 bits)
Octal	0o315250134
Hexadecimal	0x335505C

Divisor Catalog (12)

1 2 3 4 6 12 4,485,469 8,970,938 13,456,407 17,941,876 26,912,814 53,825,628

Collatz Trajectory (212 steps to reach 1)

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

53,825,628 26,912,814 13,456,407 40,369,222 20,184,611 60,553,834 30,276,917 90,830,752 45,415,376 22,707,688 11,353,844 5,676,922 2,838,461 8,515,384 4,257,692 2,128,846 1,064,423 3,193,270 1,596,635 4,789,906 2,394,953 7,184,860 3,592,430 1,796,215 5,388,646 2,694,323 8,082,970 4,041,485 12,124,456 6,062,228 3,031,114 1,515,557 4,546,672 2,273,336 1,136,668 568,334 284,167 852,502 426,251 1,278,754 639,377 1,918,132 959,066 479,533 1,438,600 719,300 359,650 179,825 539,476 269,738 134,869 404,608 202,304 101,152 50,576 25,288 12,644 6,322 3,161 9,484

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