λ
Harmonic Matrix

1,299,091

997 × 1303
Deficient Odd Composite

1,299,091 has digital root 4. The neighboring primes are 1299079 and 1299097; its proper-divisor sum differs from the starting integer by -1,296,790.

Prime Factor Structure

Factorization String 997 × 1303
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,301,392
Proper Divisor Sum 2,301
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1299079 ← → #1299097

Radix Representation

Decimal 1299091
Binary 100111101001010010011 (21 bits)
Octal 0o4751223
Hexadecimal 0x13D293

Divisor Catalog (4)

1 997 1,303 1,299,091

Collatz Trajectory (67 steps to reach 1)

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

1,299,091 3,897,274 1,948,637 5,845,912 2,922,956 1,461,478 730,739 2,192,218 1,096,109 3,288,328 1,644,164 822,082 411,041 1,233,124 616,562 308,281 924,844 462,422 231,211 693,634 346,817 1,040,452 520,226 260,113 780,340 390,170 195,085 585,256 292,628 146,314 73,157 219,472 109,736 54,868 27,434 13,717 41,152 20,576 10,288 5,144 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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