λ
Sequence Observatory

4,425,980

22 × 5 × 13 × 29 × 587
Abundant Even Composite

Starting at 4,425,980, the Collatz iteration reaches 1 after 118 steps. The first transition is 2212990; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 29 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,372,320
Proper Divisor Sum 5,946,340
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4425979 ← → #4425983

Radix Representation

Decimal 4425980
Binary 10000111000100011111100 (23 bits)
Octal 0o20704374
Hexadecimal 0x4388FC

Divisor Catalog (48)

1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 587 754 1,174 1,508 1,885 2,348 2,935 3,770 5,870 7,540 7,631 11,740 15,262 17,023 30,524 34,046 38,155 68,092 76,310 85,115 152,620 170,230 221,299 340,460 442,598 885,196 1,106,495 2,212,990 4,425,980

Collatz Trajectory (118 steps to reach 1)

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

4,425,980 2,212,990 1,106,495 3,319,486 1,659,743 4,979,230 2,489,615 7,468,846 3,734,423 11,203,270 5,601,635 16,804,906 8,402,453 25,207,360 12,603,680 6,301,840 3,150,920 1,575,460 787,730 393,865 1,181,596 590,798 295,399 886,198 443,099 1,329,298 664,649 1,993,948 996,974 498,487 1,495,462 747,731 2,243,194 1,121,597 3,364,792 1,682,396 841,198 420,599 1,261,798 630,899 1,892,698 946,349 2,839,048 1,419,524 709,762 354,881 1,064,644 532,322 266,161 798,484 399,242 199,621 598,864 299,432 149,716 74,858 37,429 112,288 56,144 28,072

More profiles

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