λ
Harmonic Matrix

2,249,833

1259 × 1787
Deficient Odd Composite

2,249,833 has digital root 4. The neighboring primes are 2249827 and 2249861; its proper-divisor sum differs from the starting integer by -2,246,786.

Prime Factor Structure

Factorization String 1259 × 1787
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,252,880
Proper Divisor Sum 3,047
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2249827 ← → #2249861

Radix Representation

Decimal 2249833
Binary 1000100101010001101001 (22 bits)
Octal 0o10452151
Hexadecimal 0x225469

Divisor Catalog (4)

1 1,259 1,787 2,249,833

Collatz Trajectory (254 steps to reach 1)

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

2,249,833 6,749,500 3,374,750 1,687,375 5,062,126 2,531,063 7,593,190 3,796,595 11,389,786 5,694,893 17,084,680 8,542,340 4,271,170 2,135,585 6,406,756 3,203,378 1,601,689 4,805,068 2,402,534 1,201,267 3,603,802 1,801,901 5,405,704 2,702,852 1,351,426 675,713 2,027,140 1,013,570 506,785 1,520,356 760,178 380,089 1,140,268 570,134 285,067 855,202 427,601 1,282,804 641,402 320,701 962,104 481,052 240,526 120,263 360,790 180,395 541,186 270,593 811,780 405,890 202,945 608,836 304,418 152,209 456,628 228,314 114,157 342,472 171,236 85,618

More profiles

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