λ
Sequence Observatory

1,663,566

2 × 3 × 277261
Abundant Even Composite

Starting at 1,663,566, the Collatz iteration reaches 1 after 163 steps. The first transition is 831783; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 277261
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,327,144
Proper Divisor Sum 1,663,578
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1663549 ← → #1663579

Radix Representation

Decimal 1663566
Binary 110010110001001001110 (21 bits)
Octal 0o6261116
Hexadecimal 0x19624E

Divisor Catalog (8)

1 2 3 6 277,261 554,522 831,783 1,663,566

Collatz Trajectory (163 steps to reach 1)

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

1,663,566 831,783 2,495,350 1,247,675 3,743,026 1,871,513 5,614,540 2,807,270 1,403,635 4,210,906 2,105,453 6,316,360 3,158,180 1,579,090 789,545 2,368,636 1,184,318 592,159 1,776,478 888,239 2,664,718 1,332,359 3,997,078 1,998,539 5,995,618 2,997,809 8,993,428 4,496,714 2,248,357 6,745,072 3,372,536 1,686,268 843,134 421,567 1,264,702 632,351 1,897,054 948,527 2,845,582 1,422,791 4,268,374 2,134,187 6,402,562 3,201,281 9,603,844 4,801,922 2,400,961 7,202,884 3,601,442 1,800,721 5,402,164 2,701,082 1,350,541 4,051,624 2,025,812 1,012,906 506,453 1,519,360 759,680 379,840

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