λ
Harmonic Matrix

1,843,312

24 × 23 × 5009
Abundant Even Composite

1,843,312 has digital root 4. The neighboring primes are 1843277 and 1843313; its proper-divisor sum differs from the starting integer by 40,816.

Prime Factor Structure

Factorization String 2^4 × 23 × 5009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,727,440
Proper Divisor Sum 1,884,128
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1843277 ← → #1843313

Radix Representation

Decimal 1843312
Binary 111000010000001110000 (21 bits)
Octal 0o7020160
Hexadecimal 0x1C2070

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 5,009 10,018 20,036 40,072 80,144 115,207 230,414 460,828 921,656 1,843,312

Collatz Trajectory (83 steps to reach 1)

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

1,843,312 921,656 460,828 230,414 115,207 345,622 172,811 518,434 259,217 777,652 388,826 194,413 583,240 291,620 145,810 72,905 218,716 109,358 54,679 164,038 82,019 246,058 123,029 369,088 184,544 92,272 46,136 23,068 11,534 5,767 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326

More profiles

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