λ
Harmonic Matrix

3,804,750

2 × 32 × 53 × 19 × 89
Abundant Even Composite

3,804,750 has digital root 9. The neighboring primes are 3804743 and 3804751; its proper-divisor sum differs from the starting integer by 3,341,700.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^3 × 19 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 10,951,200
Proper Divisor Sum 7,146,450
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3804743 ← → #3804751

Radix Representation

Decimal 3804750
Binary 1110100000111001001110 (22 bits)
Octal 0o16407116
Hexadecimal 0x3A0E4E

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 89 90 95 114 125 150 171 178 190 225 250 267 285 342 375 445 450 475 534 570 750 801 855 890 950 1,125 1,335 1,425 1,602 1,691 1,710 2,225 2,250 2,375 2,670 2,850 3,382 4,005 4,275 4,450 4,750 5,073 6,675

Collatz Trajectory (309 steps to reach 1)

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

3,804,750 1,902,375 5,707,126 2,853,563 8,560,690 4,280,345 12,841,036 6,420,518 3,210,259 9,630,778 4,815,389 14,446,168 7,223,084 3,611,542 1,805,771 5,417,314 2,708,657 8,125,972 4,062,986 2,031,493 6,094,480 3,047,240 1,523,620 761,810 380,905 1,142,716 571,358 285,679 857,038 428,519 1,285,558 642,779 1,928,338 964,169 2,892,508 1,446,254 723,127 2,169,382 1,084,691 3,254,074 1,627,037 4,881,112 2,440,556 1,220,278 610,139 1,830,418 915,209 2,745,628 1,372,814 686,407 2,059,222 1,029,611 3,088,834 1,544,417 4,633,252 2,316,626 1,158,313 3,474,940 1,737,470 868,735

More profiles

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