λ
Prime Ledger

3,006,338

2 × 1503169
Deficient Even Composite

3,006,338 has the prime decomposition 2 × 1503169. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1503169
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,509,510
Proper Divisor Sum 1,503,172
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3006323 ← → #3006347

Radix Representation

Decimal 3006338
Binary 1011011101111110000010 (22 bits)
Octal 0o13357602
Hexadecimal 0x2DDF82

Divisor Catalog (4)

1 2 1,503,169 3,006,338

Collatz Trajectory (138 steps to reach 1)

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

3,006,338 1,503,169 4,509,508 2,254,754 1,127,377 3,382,132 1,691,066 845,533 2,536,600 1,268,300 634,150 317,075 951,226 475,613 1,426,840 713,420 356,710 178,355 535,066 267,533 802,600 401,300 200,650 100,325 300,976 150,488 75,244 37,622 18,811 56,434 28,217 84,652 42,326 21,163 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179

More profiles

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