λ
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24,674,300

22 × 52 × 7 × 101 × 349
Abundant Even Composite

24,674,300 factors as 2^2 × 5^2 × 7 × 101 × 349. Its 72 positive divisors give a proper-divisor sum of 37,300,900, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 101 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 61,975,200
Proper Divisor Sum 37,300,900
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #24674269 ← → #24674311

Radix Representation

Decimal 24674300
Binary 1011110000111111111111100 (25 bits)
Octal 0o136077774
Hexadecimal 0x1787FFC

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 349 350 404 505 698 700 707 1,010 1,396 1,414 1,745 2,020 2,443 2,525 2,828 3,490 3,535 4,886 5,050 6,980 7,070 8,725 9,772 10,100 12,215 14,140 17,450 17,675 24,430 34,900 35,249 35,350 48,860 61,075 70,498 70,700 122,150 140,996 176,245 244,300 246,743 352,490

Collatz Trajectory (216 steps to reach 1)

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

24,674,300 12,337,150 6,168,575 18,505,726 9,252,863 27,758,590 13,879,295 41,637,886 20,818,943 62,456,830 31,228,415 93,685,246 46,842,623 140,527,870 70,263,935 210,791,806 105,395,903 316,187,710 158,093,855 474,281,566 237,140,783 711,422,350 355,711,175 1,067,133,526 533,566,763 1,600,700,290 800,350,145 2,401,050,436 1,200,525,218 600,262,609 1,800,787,828 900,393,914 450,196,957 1,350,590,872 675,295,436 337,647,718 168,823,859 506,471,578 253,235,789 759,707,368 379,853,684 189,926,842 94,963,421 284,890,264 142,445,132 71,222,566 35,611,283 106,833,850 53,416,925 160,250,776 80,125,388 40,062,694 20,031,347 60,094,042 30,047,021 90,141,064 45,070,532 22,535,266 11,267,633 33,802,900

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