λ
Harmonic Matrix

3,424,009

19 × 180211
Deficient Odd Composite

3,424,009 has digital root 4. The neighboring primes are 3423983 and 3424019; its proper-divisor sum differs from the starting integer by -3,243,778.

Prime Factor Structure

Factorization String 19 × 180211
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,604,240
Proper Divisor Sum 180,231
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3423983 ← → #3424019

Radix Representation

Decimal 3424009
Binary 1101000011111100001001 (22 bits)
Octal 0o15037411
Hexadecimal 0x343F09

Divisor Catalog (4)

1 19 180,211 3,424,009

Collatz Trajectory (102 steps to reach 1)

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

3,424,009 10,272,028 5,136,014 2,568,007 7,704,022 3,852,011 11,556,034 5,778,017 17,334,052 8,667,026 4,333,513 13,000,540 6,500,270 3,250,135 9,750,406 4,875,203 14,625,610 7,312,805 21,938,416 10,969,208 5,484,604 2,742,302 1,371,151 4,113,454 2,056,727 6,170,182 3,085,091 9,255,274 4,627,637 13,882,912 6,941,456 3,470,728 1,735,364 867,682 433,841 1,301,524 650,762 325,381 976,144 488,072 244,036 122,018 61,009 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718

More profiles

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