λ
Sigma Notebook

1,719,102

2 × 3 × 7 × 11 × 612
Abundant Even Composite

1,719,102 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 11 × 61^2 and its 48 divisors sum to 4,358,016.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 61^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,358,016
Proper Divisor Sum 2,638,914
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1719059 ← → #1719143

Radix Representation

Decimal 1719102
Binary 110100011101100111110 (21 bits)
Octal 0o6435476
Hexadecimal 0x1A3B3E

Divisor Catalog (48)

1 2 3 6 7 11 14 21 22 33 42 61 66 77 122 154 183 231 366 427 462 671 854 1,281 1,342 2,013 2,562 3,721 4,026 4,697 7,442 9,394 11,163 14,091 22,326 26,047 28,182 40,931 52,094 78,141 81,862 122,793 156,282 245,586 286,517 573,034 859,551 1,719,102

Collatz Trajectory (220 steps to reach 1)

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

1,719,102 859,551 2,578,654 1,289,327 3,867,982 1,933,991 5,801,974 2,900,987 8,702,962 4,351,481 13,054,444 6,527,222 3,263,611 9,790,834 4,895,417 14,686,252 7,343,126 3,671,563 11,014,690 5,507,345 16,522,036 8,261,018 4,130,509 12,391,528 6,195,764 3,097,882 1,548,941 4,646,824 2,323,412 1,161,706 580,853 1,742,560 871,280 435,640 217,820 108,910 54,455 163,366 81,683 245,050 122,525 367,576 183,788 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153 174,460 87,230 43,615 130,846 65,423

More profiles

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