λ
Harmonic Matrix

3,390,296

23 × 7 × 13 × 4657
Abundant Even Composite

3,390,296 has digital root 5. The neighboring primes are 3390287 and 3390307; its proper-divisor sum differs from the starting integer by 1,044,848.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 4657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,825,440
Proper Divisor Sum 4,435,144
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3390287 ← → #3390307

Radix Representation

Decimal 3390296
Binary 1100111011101101011000 (22 bits)
Octal 0o14735530
Hexadecimal 0x33BB58

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 4,657 9,314 18,628 32,599 37,256 60,541 65,198 121,082 130,396 242,164 260,792 423,787 484,328 847,574 1,695,148 3,390,296

Collatz Trajectory (159 steps to reach 1)

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

3,390,296 1,695,148 847,574 423,787 1,271,362 635,681 1,907,044 953,522 476,761 1,430,284 715,142 357,571 1,072,714 536,357 1,609,072 804,536 402,268 201,134 100,567 301,702 150,851 452,554 226,277 678,832 339,416 169,708 84,854 42,427 127,282 63,641 190,924 95,462 47,731 143,194 71,597 214,792 107,396 53,698 26,849 80,548 40,274 20,137 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196

More profiles

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