λ
Prime Ledger

3,137,306

2 × 467 × 3359
Deficient Even Composite

3,137,306 has the prime decomposition 2 × 467 × 3359. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 467 × 3359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,717,440
Proper Divisor Sum 1,580,134
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3137263 ← → #3137311

Radix Representation

Decimal 3137306
Binary 1011111101111100011010 (22 bits)
Octal 0o13757432
Hexadecimal 0x2FDF1A

Divisor Catalog (8)

1 2 467 934 3,359 6,718 1,568,653 3,137,306

Collatz Trajectory (71 steps to reach 1)

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

3,137,306 1,568,653 4,705,960 2,352,980 1,176,490 588,245 1,764,736 882,368 441,184 220,592 110,296 55,148 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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