194,040

2³ × 3² × 5 × 7² × 11

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7^2 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 800,280

Proper Divisor Sum 606,240

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #194027 ← → #194057

Radix Representation

Decimal	194040
Binary	101111010111111000 (18 bits)
Octal	0o572770
Hexadecimal	0x2F5F8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 28 30 33 35 36 40 42 44 45 49 55 56 60 63 66 70 72 77 84 88 90 98 99 105 110 120 126 132 140 147 154 165 168 180 196 198 210 220 231 245 252

Collatz Trajectory (85 steps to reach 1)

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

194,040 97,020 48,510 24,255 72,766 36,383 109,150 54,575 163,726 81,863 245,590 122,795 368,386 184,193 552,580 276,290 138,145 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232

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