λ
Sequence Observatory

4,083,054

2 × 3 × 680509
Abundant Even Composite

Starting at 4,083,054, the Collatz iteration reaches 1 after 167 steps. The first transition is 2041527; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 680509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,166,120
Proper Divisor Sum 4,083,066
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4082993 ← → #4083059

Radix Representation

Decimal 4083054
Binary 1111100100110101101110 (22 bits)
Octal 0o17446556
Hexadecimal 0x3E4D6E

Divisor Catalog (8)

1 2 3 6 680,509 1,361,018 2,041,527 4,083,054

Collatz Trajectory (167 steps to reach 1)

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

4,083,054 2,041,527 6,124,582 3,062,291 9,186,874 4,593,437 13,780,312 6,890,156 3,445,078 1,722,539 5,167,618 2,583,809 7,751,428 3,875,714 1,937,857 5,813,572 2,906,786 1,453,393 4,360,180 2,180,090 1,090,045 3,270,136 1,635,068 817,534 408,767 1,226,302 613,151 1,839,454 919,727 2,759,182 1,379,591 4,138,774 2,069,387 6,208,162 3,104,081 9,312,244 4,656,122 2,328,061 6,984,184 3,492,092 1,746,046 873,023 2,619,070 1,309,535 3,928,606 1,964,303 5,892,910 2,946,455 8,839,366 4,419,683 13,259,050 6,629,525 19,888,576 9,944,288 4,972,144 2,486,072 1,243,036 621,518 310,759 932,278

More profiles

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