λ
Prime Ledger

3,004,463

7 × 11 × 39019
Deficient Odd Composite

3,004,463 has the prime decomposition 7 × 11 × 39019. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 39019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,745,920
Proper Divisor Sum 741,457
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3004423 ← → #3004493

Radix Representation

Decimal 3004463
Binary 1011011101100000101111 (22 bits)
Octal 0o13354057
Hexadecimal 0x2DD82F

Divisor Catalog (8)

1 7 11 77 39,019 273,133 429,209 3,004,463

Collatz Trajectory (257 steps to reach 1)

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

3,004,463 9,013,390 4,506,695 13,520,086 6,760,043 20,280,130 10,140,065 30,420,196 15,210,098 7,605,049 22,815,148 11,407,574 5,703,787 17,111,362 8,555,681 25,667,044 12,833,522 6,416,761 19,250,284 9,625,142 4,812,571 14,437,714 7,218,857 21,656,572 10,828,286 5,414,143 16,242,430 8,121,215 24,363,646 12,181,823 36,545,470 18,272,735 54,818,206 27,409,103 82,227,310 41,113,655 123,340,966 61,670,483 185,011,450 92,505,725 277,517,176 138,758,588 69,379,294 34,689,647 104,068,942 52,034,471 156,103,414 78,051,707 234,155,122 117,077,561 351,232,684 175,616,342 87,808,171 263,424,514 131,712,257 395,136,772 197,568,386 98,784,193 296,352,580 148,176,290

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