λ
Harmonic Matrix

1,480,350

2 × 3 × 52 × 71 × 139
Abundant Even Composite

1,480,350 has digital root 3. The neighboring primes are 1480331 and 1480379; its proper-divisor sum differs from the starting integer by 789,060.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 71 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,749,760
Proper Divisor Sum 2,269,410
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1480331 ← → #1480379

Radix Representation

Decimal 1480350
Binary 101101001011010011110 (21 bits)
Octal 0o5513236
Hexadecimal 0x16969E

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 71 75 139 142 150 213 278 355 417 426 695 710 834 1,065 1,390 1,775 2,085 2,130 3,475 3,550 4,170 5,325 6,950 9,869 10,425 10,650 19,738 20,850 29,607 49,345 59,214 98,690 148,035 246,725 296,070 493,450 740,175 1,480,350

Collatz Trajectory (119 steps to reach 1)

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

1,480,350 740,175 2,220,526 1,110,263 3,330,790 1,665,395 4,996,186 2,498,093 7,494,280 3,747,140 1,873,570 936,785 2,810,356 1,405,178 702,589 2,107,768 1,053,884 526,942 263,471 790,414 395,207 1,185,622 592,811 1,778,434 889,217 2,667,652 1,333,826 666,913 2,000,740 1,000,370 500,185 1,500,556 750,278 375,139 1,125,418 562,709 1,688,128 844,064 422,032 211,016 105,508 52,754 26,377 79,132 39,566 19,783 59,350 29,675 89,026 44,513 133,540 66,770 33,385 100,156 50,078 25,039 75,118 37,559 112,678 56,339

More profiles

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