λ
Harmonic Matrix

1,044,849

3 × 13 × 73 × 367
Deficient Odd Composite

1,044,849 has digital root 3. The neighboring primes are 1044847 and 1044851; its proper-divisor sum differs from the starting integer by -564,706.

Prime Factor Structure

Factorization String 3 × 13 × 73 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,524,992
Proper Divisor Sum 480,143
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1044847 ← → #1044851

Radix Representation

Decimal 1044849
Binary 11111111000101110001 (20 bits)
Octal 0o3770561
Hexadecimal 0xFF171

Divisor Catalog (16)

1 3 13 39 73 219 367 949 1,101 2,847 4,771 14,313 26,791 80,373 348,283 1,044,849

Collatz Trajectory (183 steps to reach 1)

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

1,044,849 3,134,548 1,567,274 783,637 2,350,912 1,175,456 587,728 293,864 146,932 73,466 36,733 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634

More profiles

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