8,908,200

2³ × 3² × 5² × 7² × 101

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 7^2 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 35,145,630

Proper Divisor Sum 26,237,430

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8908183 ← → #8908201

Radix Representation

Decimal	8908200
Binary	100001111110110110101000 (24 bits)
Octal	0o41766650
Hexadecimal	0x87EDA8

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 49 50 56 60 63 70 72 75 84 90 98 100 101 105 120 126 140 147 150 168 175 180 196 200 202 210 225 245 252 280 294 300 303 315 350

Collatz Trajectory (181 steps to reach 1)

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

8,908,200 4,454,100 2,227,050 1,113,525 3,340,576 1,670,288 835,144 417,572 208,786 104,393 313,180 156,590 78,295 234,886 117,443 352,330 176,165 528,496 264,248 132,124 66,062 33,031 99,094 49,547 148,642 74,321 222,964 111,482 55,741 167,224 83,612 41,806 20,903 62,710 31,355 94,066 47,033 141,100 70,550 35,275 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570

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