λ
Sequence Observatory

1,815,876

22 × 32 × 50441
Abundant Even Composite

Starting at 1,815,876, the Collatz iteration reaches 1 after 70 steps. The first transition is 907938; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 50441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,590,222
Proper Divisor Sum 2,774,346
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1815871 ← → #1815881

Radix Representation

Decimal 1815876
Binary 110111011010101000100 (21 bits)
Octal 0o6732504
Hexadecimal 0x1BB544

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 50,441 100,882 151,323 201,764 302,646 453,969 605,292 907,938 1,815,876

Collatz Trajectory (70 steps to reach 1)

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

1,815,876 907,938 453,969 1,361,908 680,954 340,477 1,021,432 510,716 255,358 127,679 383,038 191,519 574,558 287,279 861,838 430,919 1,292,758 646,379 1,939,138 969,569 2,908,708 1,454,354 727,177 2,181,532 1,090,766 545,383 1,636,150 818,075 2,454,226 1,227,113 3,681,340 1,840,670 920,335 2,761,006 1,380,503 4,141,510 2,070,755 6,212,266 3,106,133 9,318,400 4,659,200 2,329,600 1,164,800 582,400 291,200 145,600 72,800 36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320

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