λ
Harmonic Matrix

993,849

3 × 331283
Deficient Odd Composite

993,849 has digital root 6. The neighboring primes are 993841 and 993851; its proper-divisor sum differs from the starting integer by -662,562.

Prime Factor Structure

Factorization String 3 × 331283
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,325,136
Proper Divisor Sum 331,287
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #993841 ← → #993851

Radix Representation

Decimal 993849
Binary 11110010101000111001 (20 bits)
Octal 0o3625071
Hexadecimal 0xF2A39

Divisor Catalog (4)

1 3 331,283 993,849

Collatz Trajectory (214 steps to reach 1)

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

993,849 2,981,548 1,490,774 745,387 2,236,162 1,118,081 3,354,244 1,677,122 838,561 2,515,684 1,257,842 628,921 1,886,764 943,382 471,691 1,415,074 707,537 2,122,612 1,061,306 530,653 1,591,960 795,980 397,990 198,995 596,986 298,493 895,480 447,740 223,870 111,935 335,806 167,903 503,710 251,855 755,566 377,783 1,133,350 566,675 1,700,026 850,013 2,550,040 1,275,020 637,510 318,755 956,266 478,133 1,434,400 717,200 358,600 179,300 89,650 44,825 134,476 67,238 33,619 100,858 50,429 151,288 75,644 37,822

More profiles

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