λ
Sequence Observatory

2,475,924

22 × 3 × 11 × 18757
Abundant Even Composite

Starting at 2,475,924, the Collatz iteration reaches 1 after 81 steps. The first transition is 1237962; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 18757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,302,688
Proper Divisor Sum 3,826,764
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2475917 ← → #2475959

Radix Representation

Decimal 2475924
Binary 1001011100011110010100 (22 bits)
Octal 0o11343624
Hexadecimal 0x25C794

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 18,757 37,514 56,271 75,028 112,542 206,327 225,084 412,654 618,981 825,308 1,237,962 2,475,924

Collatz Trajectory (81 steps to reach 1)

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

2,475,924 1,237,962 618,981 1,856,944 928,472 464,236 232,118 116,059 348,178 174,089 522,268 261,134 130,567 391,702 195,851 587,554 293,777 881,332 440,666 220,333 661,000 330,500 165,250 82,625 247,876 123,938 61,969 185,908 92,954 46,477 139,432 69,716 34,858 17,429 52,288 26,144 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74

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