λ
Harmonic Matrix

671,160

23 × 3 × 5 × 7 × 17 × 47
Abundant Even Composite

671,160 has digital root 3. The neighboring primes are 671159 and 671161; its proper-divisor sum differs from the starting integer by 1,146,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 17 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 2,488,320
Proper Divisor Sum 1,817,160
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #671159 ← → #671161

Radix Representation

Decimal 671160
Binary 10100011110110111000 (20 bits)
Octal 0o2436670
Hexadecimal 0xA3DB8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 47 51 56 60 68 70 84 85 94 102 105 119 120 136 140 141 168 170 188 204 210 235 238 255 280 282 329 340 357 376 408 420 470 476 510 564 595 658

Collatz Trajectory (110 steps to reach 1)

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

671,160 335,580 167,790 83,895 251,686 125,843 377,530 188,765 566,296 283,148 141,574 70,787 212,362 106,181 318,544 159,272 79,636 39,818 19,909 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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