λ
Harmonic Matrix

1,840,222

2 × 31 × 67 × 443
Deficient Even Composite

1,840,222 has digital root 1. The neighboring primes are 1840219 and 1840231; its proper-divisor sum differs from the starting integer by -782,012.

Prime Factor Structure

Factorization String 2 × 31 × 67 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,898,432
Proper Divisor Sum 1,058,210
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1840219 ← → #1840231

Radix Representation

Decimal 1840222
Binary 111000001010001011110 (21 bits)
Octal 0o7012136
Hexadecimal 0x1C145E

Divisor Catalog (16)

1 2 31 62 67 134 443 886 2,077 4,154 13,733 27,466 29,681 59,362 920,111 1,840,222

Collatz Trajectory (233 steps to reach 1)

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

1,840,222 920,111 2,760,334 1,380,167 4,140,502 2,070,251 6,210,754 3,105,377 9,316,132 4,658,066 2,329,033 6,987,100 3,493,550 1,746,775 5,240,326 2,620,163 7,860,490 3,930,245 11,790,736 5,895,368 2,947,684 1,473,842 736,921 2,210,764 1,105,382 552,691 1,658,074 829,037 2,487,112 1,243,556 621,778 310,889 932,668 466,334 233,167 699,502 349,751 1,049,254 524,627 1,573,882 786,941 2,360,824 1,180,412 590,206 295,103 885,310 442,655 1,327,966 663,983 1,991,950 995,975 2,987,926 1,493,963 4,481,890 2,240,945 6,722,836 3,361,418 1,680,709 5,042,128 2,521,064

More profiles

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