λ
Sequence Observatory

2,917,623

3 × 281 × 3461
Deficient Odd Composite

Starting at 2,917,623, the Collatz iteration reaches 1 after 244 steps. The first transition is 8752870; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 281 × 3461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,905,136
Proper Divisor Sum 987,513
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2917567 ← → #2917633

Radix Representation

Decimal 2917623
Binary 1011001000010011110111 (22 bits)
Octal 0o13102367
Hexadecimal 0x2C84F7

Divisor Catalog (8)

1 3 281 843 3,461 10,383 972,541 2,917,623

Collatz Trajectory (244 steps to reach 1)

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

2,917,623 8,752,870 4,376,435 13,129,306 6,564,653 19,693,960 9,846,980 4,923,490 2,461,745 7,385,236 3,692,618 1,846,309 5,538,928 2,769,464 1,384,732 692,366 346,183 1,038,550 519,275 1,557,826 778,913 2,336,740 1,168,370 584,185 1,752,556 876,278 438,139 1,314,418 657,209 1,971,628 985,814 492,907 1,478,722 739,361 2,218,084 1,109,042 554,521 1,663,564 831,782 415,891 1,247,674 623,837 1,871,512 935,756 467,878 233,939 701,818 350,909 1,052,728 526,364 263,182 131,591 394,774 197,387 592,162 296,081 888,244 444,122 222,061 666,184

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