λ
Harmonic Matrix

1,990,482

2 × 3 × 133 × 151
Abundant Even Composite

1,990,482 has digital root 6. The neighboring primes are 1990481 and 1990487; its proper-divisor sum differs from the starting integer by 360,156.

Prime Factor Structure

Factorization String 2 × 3 × 13^3 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,341,120
Proper Divisor Sum 2,350,638
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1990481 ← → #1990487

Radix Representation

Decimal 1990482
Binary 111100101111101010010 (21 bits)
Octal 0o7457522
Hexadecimal 0x1E5F52

Divisor Catalog (32)

1 2 3 6 13 26 39 78 151 169 302 338 453 507 906 1,014 1,963 2,197 3,926 4,394 5,889 6,591 11,778 13,182 25,519 51,038 76,557 153,114 331,747 663,494 995,241 1,990,482

Collatz Trajectory (290 steps to reach 1)

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

1,990,482 995,241 2,985,724 1,492,862 746,431 2,239,294 1,119,647 3,358,942 1,679,471 5,038,414 2,519,207 7,557,622 3,778,811 11,336,434 5,668,217 17,004,652 8,502,326 4,251,163 12,753,490 6,376,745 19,130,236 9,565,118 4,782,559 14,347,678 7,173,839 21,521,518 10,760,759 32,282,278 16,141,139 48,423,418 24,211,709 72,635,128 36,317,564 18,158,782 9,079,391 27,238,174 13,619,087 40,857,262 20,428,631 61,285,894 30,642,947 91,928,842 45,964,421 137,893,264 68,946,632 34,473,316 17,236,658 8,618,329 25,854,988 12,927,494 6,463,747 19,391,242 9,695,621 29,086,864 14,543,432 7,271,716 3,635,858 1,817,929 5,453,788 2,726,894

More profiles

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