8,484,300

2² × 3² × 5² × 11 × 857

Starting at 8,484,300, the Collatz iteration reaches 1 after 106 steps. The first transition is 4242150; the starting value is even with 108 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 11 × 857

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 29,045,016

Proper Divisor Sum 20,560,716

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8484283 ← → #8484319

Radix Representation

Decimal	8484300
Binary	100000010111010111001100 (24 bits)
Octal	0o40272714
Hexadecimal	0x8175CC

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 857 900 990 1,100 1,650 1,714 1,980 2,475 2,571 3,300 3,428 4,285 4,950 5,142 7,713

Collatz Trajectory (106 steps to reach 1)

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

8,484,300 4,242,150 2,121,075 6,363,226 3,181,613 9,544,840 4,772,420 2,386,210 1,193,105 3,579,316 1,789,658 894,829 2,684,488 1,342,244 671,122 335,561 1,006,684 503,342 251,671 755,014 377,507 1,132,522 566,261 1,698,784 849,392 424,696 212,348 106,174 53,087 159,262 79,631 238,894 119,447 358,342 179,171 537,514 268,757 806,272 403,136 201,568 100,784 50,392 25,196 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824

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