λ
Sigma Notebook

1,991,580

22 × 3 × 5 × 19 × 1747
Abundant Even Composite

1,991,580 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 19 × 1747 and its 48 divisors sum to 5,873,280.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 1747
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,873,280
Proper Divisor Sum 3,881,700
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1991573 ← → #1991597

Radix Representation

Decimal 1991580
Binary 111100110001110011100 (21 bits)
Octal 0o7461634
Hexadecimal 0x1E639C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 1,747 3,494 5,241 6,988 8,735 10,482 17,470 20,964 26,205 33,193 34,940 52,410 66,386 99,579 104,820 132,772 165,965 199,158 331,930 398,316 497,895 663,860 995,790 1,991,580

Collatz Trajectory (122 steps to reach 1)

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

1,991,580 995,790 497,895 1,493,686 746,843 2,240,530 1,120,265 3,360,796 1,680,398 840,199 2,520,598 1,260,299 3,780,898 1,890,449 5,671,348 2,835,674 1,417,837 4,253,512 2,126,756 1,063,378 531,689 1,595,068 797,534 398,767 1,196,302 598,151 1,794,454 897,227 2,691,682 1,345,841 4,037,524 2,018,762 1,009,381 3,028,144 1,514,072 757,036 378,518 189,259 567,778 283,889 851,668 425,834 212,917 638,752 319,376 159,688 79,844 39,922 19,961 59,884 29,942 14,971 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796

More profiles

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