λ
Sequence Observatory

4,225,960

23 × 5 × 105649
Abundant Even Composite

Starting at 4,225,960, the Collatz iteration reaches 1 after 79 steps. The first transition is 2112980; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 105649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,508,500
Proper Divisor Sum 5,282,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4225957 ← → #4225973

Radix Representation

Decimal 4225960
Binary 10000000111101110101000 (23 bits)
Octal 0o20075650
Hexadecimal 0x407BA8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 105,649 211,298 422,596 528,245 845,192 1,056,490 2,112,980 4,225,960

Collatz Trajectory (79 steps to reach 1)

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

4,225,960 2,112,980 1,056,490 528,245 1,584,736 792,368 396,184 198,092 99,046 49,523 148,570 74,285 222,856 111,428 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746

More profiles

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