λ
Sequence Observatory

9,768,506

2 × 11 × 17 × 26119
Deficient Even Composite

Starting at 9,768,506, the Collatz iteration reaches 1 after 207 steps. The first transition is 4884253; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 26119
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,925,760
Proper Divisor Sum 7,157,254
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9768487 ← → #9768509

Radix Representation

Decimal 9768506
Binary 100101010000111000111010 (24 bits)
Octal 0o45207072
Hexadecimal 0x950E3A

Divisor Catalog (16)

1 2 11 17 22 34 187 374 26,119 52,238 287,309 444,023 574,618 888,046 4,884,253 9,768,506

Collatz Trajectory (207 steps to reach 1)

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

9,768,506 4,884,253 14,652,760 7,326,380 3,663,190 1,831,595 5,494,786 2,747,393 8,242,180 4,121,090 2,060,545 6,181,636 3,090,818 1,545,409 4,636,228 2,318,114 1,159,057 3,477,172 1,738,586 869,293 2,607,880 1,303,940 651,970 325,985 977,956 488,978 244,489 733,468 366,734 183,367 550,102 275,051 825,154 412,577 1,237,732 618,866 309,433 928,300 464,150 232,075 696,226 348,113 1,044,340 522,170 261,085 783,256 391,628 195,814 97,907 293,722 146,861 440,584 220,292 110,146 55,073 165,220 82,610 41,305 123,916 61,958

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