λ
Sequence Observatory

5,650,848

25 × 32 × 7 × 2803
Abundant Even Composite

Starting at 5,650,848, the Collatz iteration reaches 1 after 126 steps. The first transition is 2825424; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,371,808
Proper Divisor Sum 12,720,960
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5650837 ← → #5650859

Radix Representation

Decimal 5650848
Binary 10101100011100110100000 (23 bits)
Octal 0o25434640
Hexadecimal 0x5639A0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 2,016 2,803 5,606 8,409 11,212 16,818 19,621 22,424 25,227 33,636 39,242 44,848 50,454 58,863 67,272 78,484 89,696 100,908 117,726 134,544 156,968 176,589 201,816 235,452 269,088

Collatz Trajectory (126 steps to reach 1)

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

5,650,848 2,825,424 1,412,712 706,356 353,178 176,589 529,768 264,884 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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