λ
Prime Ledger

3,084,968

23 × 385621
Deficient Even Composite

3,084,968 has the prime decomposition 2^3 × 385621. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 385621
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,784,330
Proper Divisor Sum 2,699,362
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3084947 ← → #3084979

Radix Representation

Decimal 3084968
Binary 1011110001001010101000 (22 bits)
Octal 0o13611250
Hexadecimal 0x2F12A8

Divisor Catalog (8)

1 2 4 8 385,621 771,242 1,542,484 3,084,968

Collatz Trajectory (102 steps to reach 1)

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

3,084,968 1,542,484 771,242 385,621 1,156,864 578,432 289,216 144,608 72,304 36,152 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545

More profiles

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