λ
Sequence Observatory

2,070,564

22 × 3 × 109 × 1583
Abundant Even Composite

Starting at 2,070,564, the Collatz iteration reaches 1 after 184 steps. The first transition is 1035282; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 109 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,878,720
Proper Divisor Sum 2,808,156
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2070559 ← → #2070569

Radix Representation

Decimal 2070564
Binary 111111001100000100100 (21 bits)
Octal 0o7714044
Hexadecimal 0x1F9824

Divisor Catalog (24)

1 2 3 4 6 12 109 218 327 436 654 1,308 1,583 3,166 4,749 6,332 9,498 18,996 172,547 345,094 517,641 690,188 1,035,282 2,070,564

Collatz Trajectory (184 steps to reach 1)

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

2,070,564 1,035,282 517,641 1,552,924 776,462 388,231 1,164,694 582,347 1,747,042 873,521 2,620,564 1,310,282 655,141 1,965,424 982,712 491,356 245,678 122,839 368,518 184,259 552,778 276,389 829,168 414,584 207,292 103,646 51,823 155,470 77,735 233,206 116,603 349,810 174,905 524,716 262,358 131,179 393,538 196,769 590,308 295,154 147,577 442,732 221,366 110,683 332,050 166,025 498,076 249,038 124,519 373,558 186,779 560,338 280,169 840,508 420,254 210,127 630,382 315,191 945,574 472,787

More profiles

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