λ
Sequence Observatory

2,768,531

211 × 13121
Deficient Odd Composite

Starting at 2,768,531, the Collatz iteration reaches 1 after 81 steps. The first transition is 8305594; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 211 × 13121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,781,864
Proper Divisor Sum 13,333
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2768497 ← → #2768539

Radix Representation

Decimal 2768531
Binary 1010100011111010010011 (22 bits)
Octal 0o12437223
Hexadecimal 0x2A3E93

Divisor Catalog (4)

1 211 13,121 2,768,531

Collatz Trajectory (81 steps to reach 1)

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

2,768,531 8,305,594 4,152,797 12,458,392 6,229,196 3,114,598 1,557,299 4,671,898 2,335,949 7,007,848 3,503,924 1,751,962 875,981 2,627,944 1,313,972 656,986 328,493 985,480 492,740 246,370 123,185 369,556 184,778 92,389 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488

More profiles

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