71,370

2 × 3² × 5 × 13 × 61

71,370 has the prime decomposition 2 × 3^2 × 5 × 13 × 61. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 203,112

Proper Divisor Sum 131,742

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #71363 ← → #71387

Radix Representation

Decimal	71370
Binary	10001011011001010 (17 bits)
Octal	0o213312
Hexadecimal	0x116CA

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 549 585 610 793 915 1,098 1,170 1,586 1,830 2,379 2,745 3,965 4,758 5,490 7,137 7,930 11,895 14,274 23,790 35,685 71,370

Collatz Trajectory (143 steps to reach 1)

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

71,370 35,685 107,056 53,528 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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