λ
Sequence Observatory

1,268,649

33 × 19 × 2473
Deficient Odd Composite

Starting at 1,268,649, the Collatz iteration reaches 1 after 103 steps. The first transition is 3805948; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 19 × 2473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,979,200
Proper Divisor Sum 710,551
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1268633 ← → #1268669

Radix Representation

Decimal 1268649
Binary 100110101101110101001 (21 bits)
Octal 0o4655651
Hexadecimal 0x135BA9

Divisor Catalog (16)

1 3 9 19 27 57 171 513 2,473 7,419 22,257 46,987 66,771 140,961 422,883 1,268,649

Collatz Trajectory (103 steps to reach 1)

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

1,268,649 3,805,948 1,902,974 951,487 2,854,462 1,427,231 4,281,694 2,140,847 6,422,542 3,211,271 9,633,814 4,816,907 14,450,722 7,225,361 21,676,084 10,838,042 5,419,021 16,257,064 8,128,532 4,064,266 2,032,133 6,096,400 3,048,200 1,524,100 762,050 381,025 1,143,076 571,538 285,769 857,308 428,654 214,327 642,982 321,491 964,474 482,237 1,446,712 723,356 361,678 180,839 542,518 271,259 813,778 406,889 1,220,668 610,334 305,167 915,502 457,751 1,373,254 686,627 2,059,882 1,029,941 3,089,824 1,544,912 772,456 386,228 193,114 96,557 289,672

More profiles

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