λ
Sequence Observatory

4,254,780

22 × 3 × 5 × 70913
Abundant Even Composite

Starting at 4,254,780, the Collatz iteration reaches 1 after 48 steps. The first transition is 2127390; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 70913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,913,552
Proper Divisor Sum 7,658,772
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4254779 ← → #4254797

Radix Representation

Decimal 4254780
Binary 10000001110110000111100 (23 bits)
Octal 0o20166074
Hexadecimal 0x40EC3C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 70,913 141,826 212,739 283,652 354,565 425,478 709,130 850,956 1,063,695 1,418,260 2,127,390 4,254,780

Collatz Trajectory (48 steps to reach 1)

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

4,254,780 2,127,390 1,063,695 3,191,086 1,595,543 4,786,630 2,393,315 7,179,946 3,589,973 10,769,920 5,384,960 2,692,480 1,346,240 673,120 336,560 168,280 84,140 42,070 21,035 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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