λ
Harmonic Matrix

871,241

7 × 71 × 1753
Deficient Odd Composite

871,241 has digital root 5. The neighboring primes are 871231 and 871249; its proper-divisor sum differs from the starting integer by -732,178.

Prime Factor Structure

Factorization String 7 × 71 × 1753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,010,304
Proper Divisor Sum 139,063
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #871231 ← → #871249

Radix Representation

Decimal 871241
Binary 11010100101101001001 (20 bits)
Octal 0o3245511
Hexadecimal 0xD4B49

Divisor Catalog (8)

1 7 71 497 1,753 12,271 124,463 871,241

Collatz Trajectory (95 steps to reach 1)

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

871,241 2,613,724 1,306,862 653,431 1,960,294 980,147 2,940,442 1,470,221 4,410,664 2,205,332 1,102,666 551,333 1,654,000 827,000 413,500 206,750 103,375 310,126 155,063 465,190 232,595 697,786 348,893 1,046,680 523,340 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922

More profiles

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