λ
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Atlas › Integer Profiles › Node 19,758,040

19,758,040

23 × 5 × 211 × 2341
Abundant Even Composite

19,758,040 factors as 2^3 × 5 × 211 × 2341. Its 32 positive divisors give a proper-divisor sum of 24,927,320, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 211 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,685,360
Proper Divisor Sum 24,927,320
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #19758031 ← → #19758041

Radix Representation

Decimal 19758040
Binary 1001011010111101111011000 (25 bits)
Octal 0o113275730
Hexadecimal 0x12D7BD8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 211 422 844 1,055 1,688 2,110 2,341 4,220 4,682 8,440 9,364 11,705 18,728 23,410 46,820 93,640 493,951 987,902 1,975,804 2,469,755 3,951,608 4,939,510 9,879,020 19,758,040

Collatz Trajectory (115 steps to reach 1)

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

19,758,040 9,879,020 4,939,510 2,469,755 7,409,266 3,704,633 11,113,900 5,556,950 2,778,475 8,335,426 4,167,713 12,503,140 6,251,570 3,125,785 9,377,356 4,688,678 2,344,339 7,033,018 3,516,509 10,549,528 5,274,764 2,637,382 1,318,691 3,956,074 1,978,037 5,934,112 2,967,056 1,483,528 741,764 370,882 185,441 556,324 278,162 139,081 417,244 208,622 104,311 312,934 156,467 469,402 234,701 704,104 352,052 176,026 88,013 264,040 132,020 66,010 33,005 99,016 49,508 24,754 12,377 37,132 18,566 9,283 27,850 13,925 41,776 20,888

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