λ
Sequence Observatory

4,272,782

2 × 2136391
Deficient Even Composite

Starting at 4,272,782, the Collatz iteration reaches 1 after 229 steps. The first transition is 2136391; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 2136391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,409,176
Proper Divisor Sum 2,136,394
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4272769 ← → #4272799

Radix Representation

Decimal 4272782
Binary 10000010011001010001110 (23 bits)
Octal 0o20231216
Hexadecimal 0x41328E

Divisor Catalog (4)

1 2 2,136,391 4,272,782

Collatz Trajectory (229 steps to reach 1)

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

4,272,782 2,136,391 6,409,174 3,204,587 9,613,762 4,806,881 14,420,644 7,210,322 3,605,161 10,815,484 5,407,742 2,703,871 8,111,614 4,055,807 12,167,422 6,083,711 18,251,134 9,125,567 27,376,702 13,688,351 41,065,054 20,532,527 61,597,582 30,798,791 92,396,374 46,198,187 138,594,562 69,297,281 207,891,844 103,945,922 51,972,961 155,918,884 77,959,442 38,979,721 116,939,164 58,469,582 29,234,791 87,704,374 43,852,187 131,556,562 65,778,281 197,334,844 98,667,422 49,333,711 148,001,134 74,000,567 222,001,702 111,000,851 333,002,554 166,501,277 499,503,832 249,751,916 124,875,958 62,437,979 187,313,938 93,656,969 280,970,908 140,485,454 70,242,727 210,728,182

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