λ
Sigma Notebook

2,163,690

2 × 32 × 5 × 29 × 829
Abundant Even Composite

2,163,690 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 29 × 829 and its 48 divisors sum to 5,826,600.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,826,600
Proper Divisor Sum 3,662,910
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2163677 ← → #2163691

Radix Representation

Decimal 2163690
Binary 1000010000001111101010 (22 bits)
Octal 0o10201752
Hexadecimal 0x2103EA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 829 870 1,305 1,658 2,487 2,610 4,145 4,974 7,461 8,290 12,435 14,922 24,041 24,870 37,305 48,082 72,123 74,610 120,205 144,246 216,369 240,410 360,615 432,738 721,230 1,081,845 2,163,690

Collatz Trajectory (73 steps to reach 1)

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

2,163,690 1,081,845 3,245,536 1,622,768 811,384 405,692 202,846 101,423 304,270 152,135 456,406 228,203 684,610 342,305 1,026,916 513,458 256,729 770,188 385,094 192,547 577,642 288,821 866,464 433,232 216,616 108,308 54,154 27,077 81,232 40,616 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

More profiles

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