λ
Prime Ledger

4,297,618

2 × 13 × 165293
Deficient Even Composite

4,297,618 has the prime decomposition 2 × 13 × 165293. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 165293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,942,348
Proper Divisor Sum 2,644,730
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4297613 ← → #4297621

Radix Representation

Decimal 4297618
Binary 10000011001001110010010 (23 bits)
Octal 0o20311622
Hexadecimal 0x419392

Divisor Catalog (8)

1 2 13 26 165,293 330,586 2,148,809 4,297,618

Collatz Trajectory (118 steps to reach 1)

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

4,297,618 2,148,809 6,446,428 3,223,214 1,611,607 4,834,822 2,417,411 7,252,234 3,626,117 10,878,352 5,439,176 2,719,588 1,359,794 679,897 2,039,692 1,019,846 509,923 1,529,770 764,885 2,294,656 1,147,328 573,664 286,832 143,416 71,708 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758

More profiles

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