24,288,880

2⁴ × 5 × 7 × 11 × 3943

24,288,880 factors as 2^4 × 5 × 7 × 11 × 3943. Its 80 positive divisors give a proper-divisor sum of 46,135,184, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 3943

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 70,424,064

Proper Divisor Sum 46,135,184

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #24288833 ← → #24288889

Radix Representation

Decimal	24288880
Binary	1011100101001111001110000 (25 bits)
Octal	0o134517160
Hexadecimal	0x1729E70

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1,232 1,540 3,080 3,943 6,160 7,886 15,772 19,715 27,601 31,544 39,430 43,373 55,202 63,088 78,860 86,746 110,404 138,005 157,720 173,492 216,865 220,808 276,010 303,611

Collatz Trajectory (123 steps to reach 1)

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

24,288,880 12,144,440 6,072,220 3,036,110 1,518,055 4,554,166 2,277,083 6,831,250 3,415,625 10,246,876 5,123,438 2,561,719 7,685,158 3,842,579 11,527,738 5,763,869 17,291,608 8,645,804 4,322,902 2,161,451 6,484,354 3,242,177 9,726,532 4,863,266 2,431,633 7,294,900 3,647,450 1,823,725 5,471,176 2,735,588 1,367,794 683,897 2,051,692 1,025,846 512,923 1,538,770 769,385 2,308,156 1,154,078 577,039 1,731,118 865,559 2,596,678 1,298,339 3,895,018 1,947,509 5,842,528 2,921,264 1,460,632 730,316 365,158 182,579 547,738 273,869 821,608 410,804 205,402 102,701 308,104 154,052

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