λ
Harmonic Matrix

1,820,449

1820449
Deficient Odd Prime

1,820,449 has digital root 1. The neighboring primes are 1820431 and 1820461; its proper-divisor sum differs from the starting integer by -1,820,448.

Prime Factor Structure

Factorization String 1820449
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,820,450
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1820431 ← → #1820461

Radix Representation

Decimal 1820449
Binary 110111100011100100001 (21 bits)
Octal 0o6743441
Hexadecimal 0x1BC721

Divisor Catalog (2)

Collatz Trajectory (233 steps to reach 1)

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

1,820,449 5,461,348 2,730,674 1,365,337 4,096,012 2,048,006 1,024,003 3,072,010 1,536,005 4,608,016 2,304,008 1,152,004 576,002 288,001 864,004 432,002 216,001 648,004 324,002 162,001 486,004 243,002 121,501 364,504 182,252 91,126 45,563 136,690 68,345 205,036 102,518 51,259 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286

More profiles

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