λ
Harmonic Matrix

3,244,029

3 × 283 × 3821
Deficient Odd Composite

3,244,029 has digital root 6. The neighboring primes are 3244013 and 3244039; its proper-divisor sum differs from the starting integer by -2,146,266.

Prime Factor Structure

Factorization String 3 × 283 × 3821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,341,792
Proper Divisor Sum 1,097,763
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3244013 ← → #3244039

Radix Representation

Decimal 3244029
Binary 1100010111111111111101 (22 bits)
Octal 0o14277775
Hexadecimal 0x317FFD

Divisor Catalog (8)

1 3 283 849 3,821 11,463 1,081,343 3,244,029

Collatz Trajectory (226 steps to reach 1)

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

3,244,029 9,732,088 4,866,044 2,433,022 1,216,511 3,649,534 1,824,767 5,474,302 2,737,151 8,211,454 4,105,727 12,317,182 6,158,591 18,475,774 9,237,887 27,713,662 13,856,831 41,570,494 20,785,247 62,355,742 31,177,871 93,533,614 46,766,807 140,300,422 70,150,211 210,450,634 105,225,317 315,675,952 157,837,976 78,918,988 39,459,494 19,729,747 59,189,242 29,594,621 88,783,864 44,391,932 22,195,966 11,097,983 33,293,950 16,646,975 49,940,926 24,970,463 74,911,390 37,455,695 112,367,086 56,183,543 168,550,630 84,275,315 252,825,946 126,412,973 379,238,920 189,619,460 94,809,730 47,404,865 142,214,596 71,107,298 35,553,649 106,660,948 53,330,474 26,665,237

More profiles

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