λ
Match Zalai

57,885

3 × 5 × 17 × 227
Deficient Odd Composite

57,885 factors as 3 × 5 × 17 × 227. Its 16 positive divisors give a proper-divisor sum of 40,611, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 98,496
Proper Divisor Sum 40,611
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57881 ← → #57899

Radix Representation

Decimal 57885
Binary 1110001000011101 (16 bits)
Octal 0o161035
Hexadecimal 0xE21D

Divisor Catalog (16)

1 3 5 15 17 51 85 227 255 681 1,135 3,405 3,859 11,577 19,295 57,885

Collatz Trajectory (122 steps to reach 1)

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

57,885 173,656 86,828 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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