λ
Sequence Observatory

3,563,064

23 × 32 × 17 × 41 × 71
Abundant Even Composite

Starting at 3,563,064, the Collatz iteration reaches 1 after 265 steps. The first transition is 1781532; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 41 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,614,240
Proper Divisor Sum 7,051,176
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3563059 ← → #3563083

Radix Representation

Decimal 3563064
Binary 1101100101111000111000 (22 bits)
Octal 0o15457070
Hexadecimal 0x365E38

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 71 72 82 102 123 136 142 153 164 204 213 246 284 306 328 369 408 426 492 568 612 639 697 738 852 984 1,207 1,224 1,278 1,394 1,476 1,704 2,091 2,414 2,556 2,788 2,911 2,952 3,621 4,182 4,828 5,112 5,576 5,822

Collatz Trajectory (265 steps to reach 1)

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

3,563,064 1,781,532 890,766 445,383 1,336,150 668,075 2,004,226 1,002,113 3,006,340 1,503,170 751,585 2,254,756 1,127,378 563,689 1,691,068 845,534 422,767 1,268,302 634,151 1,902,454 951,227 2,853,682 1,426,841 4,280,524 2,140,262 1,070,131 3,210,394 1,605,197 4,815,592 2,407,796 1,203,898 601,949 1,805,848 902,924 451,462 225,731 677,194 338,597 1,015,792 507,896 253,948 126,974 63,487 190,462 95,231 285,694 142,847 428,542 214,271 642,814 321,407 964,222 482,111 1,446,334 723,167 2,169,502 1,084,751 3,254,254 1,627,127 4,881,382

More profiles

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