λ
Sequence Observatory

4,824,810

2 × 32 × 5 × 53609
Abundant Even Composite

Starting at 4,824,810, the Collatz iteration reaches 1 after 69 steps. The first transition is 2412405; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 53609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,544,740
Proper Divisor Sum 7,719,930
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4824791 ← → #4824847

Radix Representation

Decimal 4824810
Binary 10010011001111011101010 (23 bits)
Octal 0o22317352
Hexadecimal 0x499EEA

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 53,609 107,218 160,827 268,045 321,654 482,481 536,090 804,135 964,962 1,608,270 2,412,405 4,824,810

Collatz Trajectory (69 steps to reach 1)

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

4,824,810 2,412,405 7,237,216 3,618,608 1,809,304 904,652 452,326 226,163 678,490 339,245 1,017,736 508,868 254,434 127,217 381,652 190,826 95,413 286,240 143,120 71,560 35,780 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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