24,259,998

2 × 3 × 7² × 19 × 43 × 101

24,259,998 factors as 2 × 3 × 7^2 × 19 × 43 × 101. Its 96 positive divisors give a proper-divisor sum of 37,135,842, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 19 × 43 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 61,395,840

Proper Divisor Sum 37,135,842

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #24259993 ← → #24259999

Radix Representation

Decimal	24259998
Binary	1011100100010110110011110 (25 bits)
Octal	0o134426636
Hexadecimal	0x1722D9E

Divisor Catalog (60 of 96)

1 2 3 6 7 14 19 21 38 42 43 49 57 86 98 101 114 129 133 147 202 258 266 294 301 303 399 602 606 707 798 817 903 931 1,414 1,634 1,806 1,862 1,919 2,107 2,121 2,451 2,793 3,838 4,214 4,242 4,343 4,902 4,949 5,586 5,719 5,757 6,321 8,686 9,898 11,438 11,514 12,642 13,029 13,433

Collatz Trajectory (229 steps to reach 1)

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

24,259,998 12,129,999 36,389,998 18,194,999 54,584,998 27,292,499 81,877,498 40,938,749 122,816,248 61,408,124 30,704,062 15,352,031 46,056,094 23,028,047 69,084,142 34,542,071 103,626,214 51,813,107 155,439,322 77,719,661 233,158,984 116,579,492 58,289,746 29,144,873 87,434,620 43,717,310 21,858,655 65,575,966 32,787,983 98,363,950 49,181,975 147,545,926 73,772,963 221,318,890 110,659,445 331,978,336 165,989,168 82,994,584 41,497,292 20,748,646 10,374,323 31,122,970 15,561,485 46,684,456 23,342,228 11,671,114 5,835,557 17,506,672 8,753,336 4,376,668 2,188,334 1,094,167 3,282,502 1,641,251 4,923,754 2,461,877 7,385,632 3,692,816 1,846,408 923,204

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