λ
Harmonic Matrix

1,832,170

2 × 5 × 19 × 9643
Deficient Even Composite

1,832,170 has digital root 4. The neighboring primes are 1832147 and 1832177; its proper-divisor sum differs from the starting integer by -192,500.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 9643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,471,840
Proper Divisor Sum 1,639,670
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1832147 ← → #1832177

Radix Representation

Decimal 1832170
Binary 110111111010011101010 (21 bits)
Octal 0o6772352
Hexadecimal 0x1BF4EA

Divisor Catalog (16)

1 2 5 10 19 38 95 190 9,643 19,286 48,215 96,430 183,217 366,434 916,085 1,832,170

Collatz Trajectory (96 steps to reach 1)

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

1,832,170 916,085 2,748,256 1,374,128 687,064 343,532 171,766 85,883 257,650 128,825 386,476 193,238 96,619 289,858 144,929 434,788 217,394 108,697 326,092 163,046 81,523 244,570 122,285 366,856 183,428 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942

More profiles

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