142,350

2 × 3 × 5² × 13 × 73

142,350 has the prime decomposition 2 × 3 × 5^2 × 13 × 73. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 13 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 385,392

Proper Divisor Sum 243,042

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #142327 ← → #142357

Radix Representation

Decimal	142350
Binary	100010110000001110 (18 bits)
Octal	0o426016
Hexadecimal	0x22C0E

Divisor Catalog (48)

1 2 3 5 6 10 13 15 25 26 30 39 50 65 73 75 78 130 146 150 195 219 325 365 390 438 650 730 949 975 1,095 1,825 1,898 1,950 2,190 2,847 3,650 4,745 5,475 5,694 9,490 10,950 14,235 23,725 28,470 47,450 71,175 142,350

Collatz Trajectory (188 steps to reach 1)

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

142,350 71,175 213,526 106,763 320,290 160,145 480,436 240,218 120,109 360,328 180,164 90,082 45,041 135,124 67,562 33,781 101,344 50,672 25,336 12,668 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525

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