λ
Sequence Observatory

1,068,772

22 × 267193
Deficient Even Composite

Starting at 1,068,772, the Collatz iteration reaches 1 after 77 steps. The first transition is 534386; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 267193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,870,358
Proper Divisor Sum 801,586
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1068761 ← → #1068779

Radix Representation

Decimal 1068772
Binary 100000100111011100100 (21 bits)
Octal 0o4047344
Hexadecimal 0x104EE4

Divisor Catalog (6)

1 2 4 267,193 534,386 1,068,772

Collatz Trajectory (77 steps to reach 1)

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

1,068,772 534,386 267,193 801,580 400,790 200,395 601,186 300,593 901,780 450,890 225,445 676,336 338,168 169,084 84,542 42,271 126,814 63,407 190,222 95,111 285,334 142,667 428,002 214,001 642,004 321,002 160,501 481,504 240,752 120,376 60,188 30,094 15,047 45,142 22,571 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784

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