λ
Sequence Observatory

6,768,063

33 × 439 × 571
Deficient Odd Composite

Starting at 6,768,063, the Collatz iteration reaches 1 after 222 steps. The first transition is 20304190; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 439 × 571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,067,200
Proper Divisor Sum 3,299,137
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6768053 ← → #6768079

Radix Representation

Decimal 6768063
Binary 11001110100010110111111 (23 bits)
Octal 0o31642677
Hexadecimal 0x6745BF

Divisor Catalog (16)

1 3 9 27 439 571 1,317 1,713 3,951 5,139 11,853 15,417 250,669 752,007 2,256,021 6,768,063

Collatz Trajectory (222 steps to reach 1)

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

6,768,063 20,304,190 10,152,095 30,456,286 15,228,143 45,684,430 22,842,215 68,526,646 34,263,323 102,789,970 51,394,985 154,184,956 77,092,478 38,546,239 115,638,718 57,819,359 173,458,078 86,729,039 260,187,118 130,093,559 390,280,678 195,140,339 585,421,018 292,710,509 878,131,528 439,065,764 219,532,882 109,766,441 329,299,324 164,649,662 82,324,831 246,974,494 123,487,247 370,461,742 185,230,871 555,692,614 277,846,307 833,538,922 416,769,461 1,250,308,384 625,154,192 312,577,096 156,288,548 78,144,274 39,072,137 117,216,412 58,608,206 29,304,103 87,912,310 43,956,155 131,868,466 65,934,233 197,802,700 98,901,350 49,450,675 148,352,026 74,176,013 222,528,040 111,264,020 55,632,010

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