17,527,120

2⁴ × 5 × 13 × 19 × 887

17,527,120 factors as 2^4 × 5 × 13 × 19 × 887. Its 80 positive divisors give a proper-divisor sum of 28,719,920, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 19 × 887

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 46,247,040

Proper Divisor Sum 28,719,920

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #17527117 ← → #17527123

Radix Representation

Decimal	17527120
Binary	1000010110111000101010000 (25 bits)
Octal	0o102670520
Hexadecimal	0x10B7150

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 887 988 1,040 1,235 1,520 1,774 1,976 2,470 3,548 3,952 4,435 4,940 7,096 8,870 9,880 11,531 14,192 16,853 17,740 19,760 23,062 33,706 35,480 46,124 57,655 67,412 70,960 84,265 92,248 115,310

Collatz Trajectory (89 steps to reach 1)

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

17,527,120 8,763,560 4,381,780 2,190,890 1,095,445 3,286,336 1,643,168 821,584 410,792 205,396 102,698 51,349 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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