λ
Sigma Notebook

1,709,620

22 × 5 × 11 × 19 × 409
Abundant Even Composite

1,709,620 is even and not a perfect square. Its factorization is 2^2 × 5 × 11 × 19 × 409 and its 48 divisors sum to 4,132,800.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 19 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,132,800
Proper Divisor Sum 2,423,180
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1709611 ← → #1709633

Radix Representation

Decimal 1709620
Binary 110100001011000110100 (21 bits)
Octal 0o6413064
Hexadecimal 0x1A1634

Divisor Catalog (48)

1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 409 418 818 836 1,045 1,636 2,045 2,090 4,090 4,180 4,499 7,771 8,180 8,998 15,542 17,996 22,495 31,084 38,855 44,990 77,710 85,481 89,980 155,420 170,962 341,924 427,405 854,810 1,709,620

Collatz Trajectory (101 steps to reach 1)

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

1,709,620 854,810 427,405 1,282,216 641,108 320,554 160,277 480,832 240,416 120,208 60,104 30,052 15,026 7,513 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822

More profiles

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