λ
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1,790,730

2 × 32 × 5 × 101 × 197
Abundant Even Composite

1,790,730 factors as 2 × 3^2 × 5 × 101 × 197. Its 48 positive divisors give a proper-divisor sum of 2,935,134, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 101 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,725,864
Proper Divisor Sum 2,935,134
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1790713 ← → #1790743

Radix Representation

Decimal 1790730
Binary 110110101001100001010 (21 bits)
Octal 0o6651412
Hexadecimal 0x1B530A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 101 197 202 303 394 505 591 606 909 985 1,010 1,182 1,515 1,773 1,818 1,970 2,955 3,030 3,546 4,545 5,910 8,865 9,090 17,730 19,897 39,794 59,691 99,485 119,382 179,073 198,970 298,455 358,146 596,910 895,365 1,790,730

Collatz Trajectory (96 steps to reach 1)

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

1,790,730 895,365 2,686,096 1,343,048 671,524 335,762 167,881 503,644 251,822 125,911 377,734 188,867 566,602 283,301 849,904 424,952 212,476 106,238 53,119 159,358 79,679 239,038 119,519 358,558 179,279 537,838 268,919 806,758 403,379 1,210,138 605,069 1,815,208 907,604 453,802 226,901 680,704 340,352 170,176 85,088 42,544 21,272 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317

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