24,251,220

2² × 3² × 5 × 7 × 19 × 1013

24,251,220 factors as 2^2 × 3^2 × 5 × 7 × 19 × 1013. Its 144 positive divisors give a proper-divisor sum of 64,331,820, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 19 × 1013

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 88,583,040

Proper Divisor Sum 64,331,820

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #24251219 ← → #24251233

Radix Representation

Decimal	24251220
Binary	1011100100000101101010100 (25 bits)
Octal	0o134405524
Hexadecimal	0x1720B54

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1,013 1,140 1,197 1,260

Collatz Trajectory (185 steps to reach 1)

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

24,251,220 12,125,610 6,062,805 18,188,416 9,094,208 4,547,104 2,273,552 1,136,776 568,388 284,194 142,097 426,292 213,146 106,573 319,720 159,860 79,930 39,965 119,896 59,948 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

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