24,030,160

2⁴ × 5 × 7 × 11 × 47 × 83

24,030,160 factors as 2^4 × 5 × 7 × 11 × 47 × 83. Its 160 positive divisors give a proper-divisor sum of 47,965,232, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 47 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 71,995,392

Proper Divisor Sum 47,965,232

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #24030151 ← → #24030161

Radix Representation

Decimal	24030160
Binary	1011011101010101111010000 (25 bits)
Octal	0o133525720
Hexadecimal	0x16EABD0

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 47 55 56 70 77 80 83 88 94 110 112 140 154 166 176 188 220 235 280 308 329 332 376 385 415 440 470 517 560 581 616 658 664 752 770 830 880 913 940 1,034 1,162 1,232 1,316 1,328

Collatz Trajectory (115 steps to reach 1)

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

24,030,160 12,015,080 6,007,540 3,003,770 1,501,885 4,505,656 2,252,828 1,126,414 563,207 1,689,622 844,811 2,534,434 1,267,217 3,801,652 1,900,826 950,413 2,851,240 1,425,620 712,810 356,405 1,069,216 534,608 267,304 133,652 66,826 33,413 100,240 50,120 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414

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