λ
Prime Ledger

3,004,137

32 × 333793
Deficient Odd Composite

3,004,137 has the prime decomposition 3^2 × 333793. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 333793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,339,322
Proper Divisor Sum 1,335,185
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3004123 ← → #3004151

Radix Representation

Decimal 3004137
Binary 1011011101011011101001 (22 bits)
Octal 0o13353351
Hexadecimal 0x2DD6E9

Divisor Catalog (6)

1 3 9 333,793 1,001,379 3,004,137

Collatz Trajectory (257 steps to reach 1)

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

3,004,137 9,012,412 4,506,206 2,253,103 6,759,310 3,379,655 10,138,966 5,069,483 15,208,450 7,604,225 22,812,676 11,406,338 5,703,169 17,109,508 8,554,754 4,277,377 12,832,132 6,416,066 3,208,033 9,624,100 4,812,050 2,406,025 7,218,076 3,609,038 1,804,519 5,413,558 2,706,779 8,120,338 4,060,169 12,180,508 6,090,254 3,045,127 9,135,382 4,567,691 13,703,074 6,851,537 20,554,612 10,277,306 5,138,653 15,415,960 7,707,980 3,853,990 1,926,995 5,780,986 2,890,493 8,671,480 4,335,740 2,167,870 1,083,935 3,251,806 1,625,903 4,877,710 2,438,855 7,316,566 3,658,283 10,974,850 5,487,425 16,462,276 8,231,138 4,115,569

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