λ
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Atlas › Integer Profiles › Node 23,500,150

23,500,150

2 × 52 × 19 × 29 × 853
Abundant Even Composite

23,500,150 factors as 2 × 5^2 × 19 × 29 × 853. Its 48 positive divisors give a proper-divisor sum of 24,153,050, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 29 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,653,200
Proper Divisor Sum 24,153,050
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #23500133 ← → #23500157

Radix Representation

Decimal 23500150
Binary 1011001101001010101110110 (25 bits)
Octal 0o131512566
Hexadecimal 0x1669576

Divisor Catalog (48)

1 2 5 10 19 25 29 38 50 58 95 145 190 290 475 551 725 853 950 1,102 1,450 1,706 2,755 4,265 5,510 8,530 13,775 16,207 21,325 24,737 27,550 32,414 42,650 49,474 81,035 123,685 162,070 247,370 405,175 470,003 618,425 810,350 940,006 1,236,850 2,350,015 4,700,030 11,750,075 23,500,150

Collatz Trajectory (216 steps to reach 1)

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

23,500,150 11,750,075 35,250,226 17,625,113 52,875,340 26,437,670 13,218,835 39,656,506 19,828,253 59,484,760 29,742,380 14,871,190 7,435,595 22,306,786 11,153,393 33,460,180 16,730,090 8,365,045 25,095,136 12,547,568 6,273,784 3,136,892 1,568,446 784,223 2,352,670 1,176,335 3,529,006 1,764,503 5,293,510 2,646,755 7,940,266 3,970,133 11,910,400 5,955,200 2,977,600 1,488,800 744,400 372,200 186,100 93,050 46,525 139,576 69,788 34,894 17,447 52,342 26,171 78,514 39,257 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844

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