λ
Prime Ledger

4,087,206

2 × 33 × 75689
Abundant Even Composite

4,087,206 has the prime decomposition 2 × 3^3 × 75689. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 75689
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,082,800
Proper Divisor Sum 4,995,594
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4087199 ← → #4087207

Radix Representation

Decimal 4087206
Binary 1111100101110110100110 (22 bits)
Octal 0o17456646
Hexadecimal 0x3E5DA6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 75,689 151,378 227,067 454,134 681,201 1,362,402 2,043,603 4,087,206

Collatz Trajectory (198 steps to reach 1)

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

4,087,206 2,043,603 6,130,810 3,065,405 9,196,216 4,598,108 2,299,054 1,149,527 3,448,582 1,724,291 5,172,874 2,586,437 7,759,312 3,879,656 1,939,828 969,914 484,957 1,454,872 727,436 363,718 181,859 545,578 272,789 818,368 409,184 204,592 102,296 51,148 25,574 12,787 38,362 19,181 57,544 28,772 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324

More profiles

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