17,137,330

2 × 5 × 7 × 137 × 1787

17,137,330 factors as 2 × 5 × 7 × 137 × 1787. Its 32 positive divisors give a proper-divisor sum of 18,393,806, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 137 × 1787

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 35,531,136

Proper Divisor Sum 18,393,806

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #17137301 ← → #17137339

Radix Representation

Decimal	17137330
Binary	1000001010111111010110010 (25 bits)
Octal	0o101277262
Hexadecimal	0x1057EB2

Divisor Catalog (32)

Collatz Trajectory (151 steps to reach 1)

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

17,137,330 8,568,665 25,705,996 12,852,998 6,426,499 19,279,498 9,639,749 28,919,248 14,459,624 7,229,812 3,614,906 1,807,453 5,422,360 2,711,180 1,355,590 677,795 2,033,386 1,016,693 3,050,080 1,525,040 762,520 381,260 190,630 95,315 285,946 142,973 428,920 214,460 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860 271,430 135,715 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022

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