57,404

2² × 113 × 127

57,404 has the prime decomposition 2^2 × 113 × 127. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 113 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 102,144

Proper Divisor Sum 44,740

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #57397 ← → #57413

Radix Representation

Decimal	57404
Binary	1110000000111100 (16 bits)
Octal	0o160074
Hexadecimal	0xE03C

Divisor Catalog (12)

1 2 4 113 127 226 254 452 508 14,351 28,702 57,404

Collatz Trajectory (78 steps to reach 1)

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

57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61

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