8,002,238

2 × 4001119

Starting at 8,002,238, the Collatz iteration reaches 1 after 93 steps. The first transition is 4001119; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 4001119

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 12,003,360

Proper Divisor Sum 4,001,122

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8002219 ← → #8002243

Radix Representation

Decimal	8002238
Binary	11110100001101010111110 (23 bits)
Octal	0o36415276
Hexadecimal	0x7A1ABE

Divisor Catalog (4)

1 2 4,001,119 8,002,238

Collatz Trajectory (93 steps to reach 1)

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

8,002,238 4,001,119 12,003,358 6,001,679 18,005,038 9,002,519 27,007,558 13,503,779 40,511,338 20,255,669 60,767,008 30,383,504 15,191,752 7,595,876 3,797,938 1,898,969 5,696,908 2,848,454 1,424,227 4,272,682 2,136,341 6,409,024 3,204,512 1,602,256 801,128 400,564 200,282 100,141 300,424 150,212 75,106 37,553 112,660 56,330 28,165 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464

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