λ
Sequence Observatory

1,810,068

22 × 3 × 13 × 41 × 283
Abundant Even Composite

Starting at 1,810,068, the Collatz iteration reaches 1 after 233 steps. The first transition is 905034; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 41 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,675,776
Proper Divisor Sum 2,865,708
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1810063 ← → #1810069

Radix Representation

Decimal 1810068
Binary 110111001111010010100 (21 bits)
Octal 0o6717224
Hexadecimal 0x1B9E94

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 283 492 533 566 849 1,066 1,132 1,599 1,698 2,132 3,198 3,396 3,679 6,396 7,358 11,037 11,603 14,716 22,074 23,206 34,809 44,148 46,412 69,618 139,236 150,839 301,678 452,517 603,356 905,034 1,810,068

Collatz Trajectory (233 steps to reach 1)

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

1,810,068 905,034 452,517 1,357,552 678,776 339,388 169,694 84,847 254,542 127,271 381,814 190,907 572,722 286,361 859,084 429,542 214,771 644,314 322,157 966,472 483,236 241,618 120,809 362,428 181,214 90,607 271,822 135,911 407,734 203,867 611,602 305,801 917,404 458,702 229,351 688,054 344,027 1,032,082 516,041 1,548,124 774,062 387,031 1,161,094 580,547 1,741,642 870,821 2,612,464 1,306,232 653,116 326,558 163,279 489,838 244,919 734,758 367,379 1,102,138 551,069 1,653,208 826,604 413,302

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