λ
Harmonic Matrix

4,347,309

3 × 269 × 5387
Deficient Odd Composite

4,347,309 has digital root 3. The neighboring primes are 4347307 and 4347311; its proper-divisor sum differs from the starting integer by -2,875,578.

Prime Factor Structure

Factorization String 3 × 269 × 5387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,819,040
Proper Divisor Sum 1,471,731
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4347307 ← → #4347311

Radix Representation

Decimal 4347309
Binary 10000100101010110101101 (23 bits)
Octal 0o20452655
Hexadecimal 0x4255AD

Divisor Catalog (8)

1 3 269 807 5,387 16,161 1,449,103 4,347,309

Collatz Trajectory (105 steps to reach 1)

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

4,347,309 13,041,928 6,520,964 3,260,482 1,630,241 4,890,724 2,445,362 1,222,681 3,668,044 1,834,022 917,011 2,751,034 1,375,517 4,126,552 2,063,276 1,031,638 515,819 1,547,458 773,729 2,321,188 1,160,594 580,297 1,740,892 870,446 435,223 1,305,670 652,835 1,958,506 979,253 2,937,760 1,468,880 734,440 367,220 183,610 91,805 275,416 137,708 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064 1,532 766

More profiles

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