λ
Prime Ledger

4,344,338

2 × 167 × 13007
Deficient Even Composite

4,344,338 has the prime decomposition 2 × 167 × 13007. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 167 × 13007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,556,032
Proper Divisor Sum 2,211,694
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4344337 ← → #4344349

Radix Representation

Decimal 4344338
Binary 10000100100101000010010 (23 bits)
Octal 0o20445022
Hexadecimal 0x424A12

Divisor Catalog (8)

1 2 167 334 13,007 26,014 2,172,169 4,344,338

Collatz Trajectory (229 steps to reach 1)

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

4,344,338 2,172,169 6,516,508 3,258,254 1,629,127 4,887,382 2,443,691 7,331,074 3,665,537 10,996,612 5,498,306 2,749,153 8,247,460 4,123,730 2,061,865 6,185,596 3,092,798 1,546,399 4,639,198 2,319,599 6,958,798 3,479,399 10,438,198 5,219,099 15,657,298 7,828,649 23,485,948 11,742,974 5,871,487 17,614,462 8,807,231 26,421,694 13,210,847 39,632,542 19,816,271 59,448,814 29,724,407 89,173,222 44,586,611 133,759,834 66,879,917 200,639,752 100,319,876 50,159,938 25,079,969 75,239,908 37,619,954 18,809,977 56,429,932 28,214,966 14,107,483 42,322,450 21,161,225 63,483,676 31,741,838 15,870,919 47,612,758 23,806,379 71,419,138 35,709,569

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