25,388

2² × 11 × 577

25,388 is even and not a perfect square. Its factorization is 2^2 × 11 × 577 and its 12 divisors sum to 48,552.

Prime Factor Structure

Factorization String 2^2 × 11 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,552

Proper Divisor Sum 23,164

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #25373 ← → #25391

Radix Representation

Decimal	25388
Binary	110001100101100 (15 bits)
Octal	0o61454
Hexadecimal	0x632C

Divisor Catalog (12)

1 2 4 11 22 44 577 1,154 2,308 6,347 12,694 25,388

Collatz Trajectory (38 steps to reach 1)

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

25,388 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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