4,832,100

2² × 3² × 5² × 7 × 13 × 59

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 13 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 18,957,120

Proper Divisor Sum 14,125,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4832081 ← → #4832123

Radix Representation

Decimal	4832100
Binary	10010011011101101100100 (23 bits)
Octal	0o22335544
Hexadecimal	0x49BB64

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 28 30 35 36 39 42 45 50 52 59 60 63 65 70 75 78 84 90 91 100 105 117 118 126 130 140 150 156 175 177 180 182 195 210 225 234 236 252 260 273 295 300

Collatz Trajectory (162 steps to reach 1)

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

4,832,100 2,416,050 1,208,025 3,624,076 1,812,038 906,019 2,718,058 1,359,029 4,077,088 2,038,544 1,019,272 509,636 254,818 127,409 382,228 191,114 95,557 286,672 143,336 71,668 35,834 17,917 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

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