λ
Sequence Observatory

2,989,120

26 × 5 × 9341
Abundant Even Composite

Starting at 2,989,120, the Collatz iteration reaches 1 after 45 steps. The first transition is 1494560; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 9341
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,118,604
Proper Divisor Sum 4,129,484
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2989097 ← → #2989139

Radix Representation

Decimal 2989120
Binary 1011011001110001000000 (22 bits)
Octal 0o13316100
Hexadecimal 0x2D9C40

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 9,341 18,682 37,364 46,705 74,728 93,410 149,456 186,820 298,912 373,640 597,824 747,280 1,494,560 2,989,120

Collatz Trajectory (45 steps to reach 1)

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

2,989,120 1,494,560 747,280 373,640 186,820 93,410 46,705 140,116 70,058 35,029 105,088 52,544 26,272 13,136 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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