24,259,620

2² × 3 × 5 × 7 × 11 × 59 × 89

24,259,620 factors as 2^2 × 3 × 5 × 7 × 11 × 59 × 89. Its 192 positive divisors give a proper-divisor sum of 62,831,580, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 11 × 59 × 89

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 87,091,200

Proper Divisor Sum 62,831,580

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #24259601 ← → #24259621

Radix Representation

Decimal	24259620
Binary	1011100100010110000100100 (25 bits)
Octal	0o134426044
Hexadecimal	0x1722C24

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 59 60 66 70 77 84 89 105 110 118 132 140 154 165 177 178 210 220 231 236 267 295 308 330 354 356 385 413 420 445 462 534 590 623 649 660 708 770

Collatz Trajectory (229 steps to reach 1)

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

24,259,620 12,129,810 6,064,905 18,194,716 9,097,358 4,548,679 13,646,038 6,823,019 20,469,058 10,234,529 30,703,588 15,351,794 7,675,897 23,027,692 11,513,846 5,756,923 17,270,770 8,635,385 25,906,156 12,953,078 6,476,539 19,429,618 9,714,809 29,144,428 14,572,214 7,286,107 21,858,322 10,929,161 32,787,484 16,393,742 8,196,871 24,590,614 12,295,307 36,885,922 18,442,961 55,328,884 27,664,442 13,832,221 41,496,664 20,748,332 10,374,166 5,187,083 15,561,250 7,780,625 23,341,876 11,670,938 5,835,469 17,506,408 8,753,204 4,376,602 2,188,301 6,564,904 3,282,452 1,641,226 820,613 2,461,840 1,230,920 615,460 307,730 153,865

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