24,254,640

2⁴ × 3⁴ × 5 × 19 × 197

24,254,640 factors as 2^4 × 3^4 × 5 × 19 × 197. Its 200 positive divisors give a proper-divisor sum of 64,869,120, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 19 × 197

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 200

Divisor Sum (σ) 89,123,760

Proper Divisor Sum 64,869,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #24254639 ← → #24254641

Radix Representation

Decimal	24254640
Binary	1011100100001100010110000 (25 bits)
Octal	0o134414260
Hexadecimal	0x17218B0

Divisor Catalog (60 of 200)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 81 90 95 108 114 120 135 144 152 162 171 180 190 197 216 228 240 270 285 304 324 342 360 380 394 405 432 456 513 540 570

Collatz Trajectory (123 steps to reach 1)

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

24,254,640 12,127,320 6,063,660 3,031,830 1,515,915 4,547,746 2,273,873 6,821,620 3,410,810 1,705,405 5,116,216 2,558,108 1,279,054 639,527 1,918,582 959,291 2,877,874 1,438,937 4,316,812 2,158,406 1,079,203 3,237,610 1,618,805 4,856,416 2,428,208 1,214,104 607,052 303,526 151,763 455,290 227,645 682,936 341,468 170,734 85,367 256,102 128,051 384,154 192,077 576,232 288,116 144,058 72,029 216,088 108,044 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274

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