4,334,500

2² × 5³ × 8669

Starting at 4,334,500, the Collatz iteration reaches 1 after 242 steps. The first transition is 2167250; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 8669

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,467,640

Proper Divisor Sum 5,133,140

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #4334497 ← → #4334563

Radix Representation

Decimal	4334500
Binary	10000100010001110100100 (23 bits)
Octal	0o20421644
Hexadecimal	0x4223A4

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 8,669 17,338 34,676 43,345 86,690 173,380 216,725 433,450 866,900 1,083,625 2,167,250 4,334,500

Collatz Trajectory (242 steps to reach 1)

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

4,334,500 2,167,250 1,083,625 3,250,876 1,625,438 812,719 2,438,158 1,219,079 3,657,238 1,828,619 5,485,858 2,742,929 8,228,788 4,114,394 2,057,197 6,171,592 3,085,796 1,542,898 771,449 2,314,348 1,157,174 578,587 1,735,762 867,881 2,603,644 1,301,822 650,911 1,952,734 976,367 2,929,102 1,464,551 4,393,654 2,196,827 6,590,482 3,295,241 9,885,724 4,942,862 2,471,431 7,414,294 3,707,147 11,121,442 5,560,721 16,682,164 8,341,082 4,170,541 12,511,624 6,255,812 3,127,906 1,563,953 4,691,860 2,345,930 1,172,965 3,518,896 1,759,448 879,724 439,862 219,931 659,794 329,897 989,692

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