λ
Sequence Observatory

2,787,629

13 × 214433
Deficient Odd Composite

Starting at 2,787,629, the Collatz iteration reaches 1 after 76 steps. The first transition is 8362888; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 214433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,002,076
Proper Divisor Sum 214,447
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2787619 ← → #2787649

Radix Representation

Decimal 2787629
Binary 1010101000100100101101 (22 bits)
Octal 0o12504455
Hexadecimal 0x2A892D

Divisor Catalog (4)

1 13 214,433 2,787,629

Collatz Trajectory (76 steps to reach 1)

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

2,787,629 8,362,888 4,181,444 2,090,722 1,045,361 3,136,084 1,568,042 784,021 2,352,064 1,176,032 588,016 294,008 147,004 73,502 36,751 110,254 55,127 165,382 82,691 248,074 124,037 372,112 186,056 93,028 46,514 23,257 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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