8,575,200

2⁵ × 3³ × 5² × 397

Starting at 8,575,200, the Collatz iteration reaches 1 after 119 steps. The first transition is 4287600; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5^2 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 31,091,760

Proper Divisor Sum 22,516,560

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8575199 ← → #8575201

Radix Representation

Decimal	8575200
Binary	100000101101100011100000 (24 bits)
Octal	0o40554340
Hexadecimal	0x82D8E0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 397 400 432 450 480 540 600 675 720 794 800 864 900

Collatz Trajectory (119 steps to reach 1)

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

8,575,200 4,287,600 2,143,800 1,071,900 535,950 267,975 803,926 401,963 1,205,890 602,945 1,808,836 904,418 452,209 1,356,628 678,314 339,157 1,017,472 508,736 254,368 127,184 63,592 31,796 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516

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