λ
Sequence Observatory

6,230,302

2 × 13 × 29 × 8263
Deficient Even Composite

Starting at 6,230,302, the Collatz iteration reaches 1 after 77 steps. The first transition is 3115151; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 8263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,412,640
Proper Divisor Sum 4,182,338
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6230291 ← → #6230303

Radix Representation

Decimal 6230302
Binary 10111110001000100011110 (23 bits)
Octal 0o27610436
Hexadecimal 0x5F111E

Divisor Catalog (16)

1 2 13 26 29 58 377 754 8,263 16,526 107,419 214,838 239,627 479,254 3,115,151 6,230,302

Collatz Trajectory (77 steps to reach 1)

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

6,230,302 3,115,151 9,345,454 4,672,727 14,018,182 7,009,091 21,027,274 10,513,637 31,540,912 15,770,456 7,885,228 3,942,614 1,971,307 5,913,922 2,956,961 8,870,884 4,435,442 2,217,721 6,653,164 3,326,582 1,663,291 4,989,874 2,494,937 7,484,812 3,742,406 1,871,203 5,613,610 2,806,805 8,420,416 4,210,208 2,105,104 1,052,552 526,276 263,138 131,569 394,708 197,354 98,677 296,032 148,016 74,008 37,004 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184

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