λ
Harmonic Matrix

1,804,251

3 × 103 × 5839
Deficient Odd Composite

1,804,251 has digital root 3. The neighboring primes are 1804249 and 1804267; its proper-divisor sum differs from the starting integer by -1,179,062.

Prime Factor Structure

Factorization String 3 × 103 × 5839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,429,440
Proper Divisor Sum 625,189
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1804249 ← → #1804267

Radix Representation

Decimal 1804251
Binary 110111000011111011011 (21 bits)
Octal 0o6703733
Hexadecimal 0x1B87DB

Divisor Catalog (8)

1 3 103 309 5,839 17,517 601,417 1,804,251

Collatz Trajectory (233 steps to reach 1)

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

1,804,251 5,412,754 2,706,377 8,119,132 4,059,566 2,029,783 6,089,350 3,044,675 9,134,026 4,567,013 13,701,040 6,850,520 3,425,260 1,712,630 856,315 2,568,946 1,284,473 3,853,420 1,926,710 963,355 2,890,066 1,445,033 4,335,100 2,167,550 1,083,775 3,251,326 1,625,663 4,876,990 2,438,495 7,315,486 3,657,743 10,973,230 5,486,615 16,459,846 8,229,923 24,689,770 12,344,885 37,034,656 18,517,328 9,258,664 4,629,332 2,314,666 1,157,333 3,472,000 1,736,000 868,000 434,000 217,000 108,500 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446

More profiles

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