λ
Sequence Observatory

2,289,510

2 × 32 × 5 × 25439
Abundant Even Composite

Starting at 2,289,510, the Collatz iteration reaches 1 after 55 steps. The first transition is 1144755; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 25439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,952,960
Proper Divisor Sum 3,663,450
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2289503 ← → #2289571

Radix Representation

Decimal 2289510
Binary 1000101110111101100110 (22 bits)
Octal 0o10567546
Hexadecimal 0x22EF66

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 25,439 50,878 76,317 127,195 152,634 228,951 254,390 381,585 457,902 763,170 1,144,755 2,289,510

Collatz Trajectory (55 steps to reach 1)

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

2,289,510 1,144,755 3,434,266 1,717,133 5,151,400 2,575,700 1,287,850 643,925 1,931,776 965,888 482,944 241,472 120,736 60,368 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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