λ
Sequence Observatory

4,285,480

23 × 5 × 107137
Abundant Even Composite

Starting at 4,285,480, the Collatz iteration reaches 1 after 149 steps. The first transition is 2142740; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 107137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,642,420
Proper Divisor Sum 5,356,940
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4285453 ← → #4285481

Radix Representation

Decimal 4285480
Binary 10000010110010000101000 (23 bits)
Octal 0o20262050
Hexadecimal 0x416428

Divisor Catalog (16)

1 2 4 5 8 10 20 40 107,137 214,274 428,548 535,685 857,096 1,071,370 2,142,740 4,285,480

Collatz Trajectory (149 steps to reach 1)

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

4,285,480 2,142,740 1,071,370 535,685 1,607,056 803,528 401,764 200,882 100,441 301,324 150,662 75,331 225,994 112,997 338,992 169,496 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535

More profiles

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