8,590,800

2⁴ × 3 × 5² × 7159

Starting at 8,590,800, the Collatz iteration reaches 1 after 75 steps. The first transition is 4295400; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7159

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 27,523,040

Proper Divisor Sum 18,932,240

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8590789 ← → #8590811

Radix Representation

Decimal	8590800
Binary	100000110001010111010000 (24 bits)
Octal	0o40612720
Hexadecimal	0x8315D0

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 7,159 14,318 21,477 28,636 35,795 42,954 57,272 71,590 85,908 107,385 114,544 143,180 171,816 178,975 214,770 286,360 343,632 357,950 429,540 536,925 572,720 715,900 859,080 1,073,850 1,431,800 1,718,160 2,147,700 2,863,600 4,295,400 8,590,800

Collatz Trajectory (75 steps to reach 1)

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

8,590,800 4,295,400 2,147,700 1,073,850 536,925 1,610,776 805,388 402,694 201,347 604,042 302,021 906,064 453,032 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44

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