λ
Sequence Observatory

2,765,667

3 × 921889
Deficient Odd Composite

Starting at 2,765,667, the Collatz iteration reaches 1 after 81 steps. The first transition is 8297002; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 921889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,687,560
Proper Divisor Sum 921,893
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2765641 ← → #2765671

Radix Representation

Decimal 2765667
Binary 1010100011001101100011 (22 bits)
Octal 0o12431543
Hexadecimal 0x2A3363

Divisor Catalog (4)

1 3 921,889 2,765,667

Collatz Trajectory (81 steps to reach 1)

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

2,765,667 8,297,002 4,148,501 12,445,504 6,222,752 3,111,376 1,555,688 777,844 388,922 194,461 583,384 291,692 145,846 72,923 218,770 109,385 328,156 164,078 82,039 246,118 123,059 369,178 184,589 553,768 276,884 138,442 69,221 207,664 103,832 51,916 25,958 12,979 38,938 19,469 58,408 29,204 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490

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