359,100

2² × 3³ × 5² × 7 × 19

359,100 factors as 2^2 × 3^3 × 5^2 × 7 × 19. Its 144 positive divisors give a proper-divisor sum of 1,029,700, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 7 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,388,800

Proper Divisor Sum 1,029,700

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #359069 ← → #359101

Radix Representation

Decimal	359100
Binary	1010111101010111100 (19 bits)
Octal	0o1275274
Hexadecimal	0x57ABC

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 25 27 28 30 35 36 38 42 45 50 54 57 60 63 70 75 76 84 90 95 100 105 108 114 126 133 135 140 150 171 175 180 189 190 210 225 228 252 266 270 285 300 315 342

Collatz Trajectory (122 steps to reach 1)

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

359,100 179,550 89,775 269,326 134,663 403,990 201,995 605,986 302,993 908,980 454,490 227,245 681,736 340,868 170,434 85,217 255,652 127,826 63,913 191,740 95,870 47,935 143,806 71,903 215,710 107,855 323,566 161,783 485,350 242,675 728,026 364,013 1,092,040 546,020 273,010 136,505 409,516 204,758 102,379 307,138 153,569 460,708 230,354 115,177 345,532 172,766 86,383 259,150 129,575 388,726 194,363 583,090 291,545 874,636 437,318 218,659 655,978 327,989 983,968 491,984

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