λ
Harmonic Matrix

2,172,829

2172829
Deficient Odd Prime

2,172,829 has digital root 4. The neighboring primes are 2172827 and 2172839; its proper-divisor sum differs from the starting integer by -2,172,828.

Prime Factor Structure

Factorization String 2172829
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,172,830
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2172827 ← → #2172839

Radix Representation

Decimal 2172829
Binary 1000010010011110011101 (22 bits)
Octal 0o10223635
Hexadecimal 0x21279D

Divisor Catalog (2)

Collatz Trajectory (117 steps to reach 1)

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

2,172,829 6,518,488 3,259,244 1,629,622 814,811 2,444,434 1,222,217 3,666,652 1,833,326 916,663 2,749,990 1,374,995 4,124,986 2,062,493 6,187,480 3,093,740 1,546,870 773,435 2,320,306 1,160,153 3,480,460 1,740,230 870,115 2,610,346 1,305,173 3,915,520 1,957,760 978,880 489,440 244,720 122,360 61,180 30,590 15,295 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297

More profiles

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