215,080

2³ × 5 × 19 × 283

215,080 factors as 2^3 × 5 × 19 × 283. Its 32 positive divisors give a proper-divisor sum of 296,120, so this integer is abundant. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 511,200

Proper Divisor Sum 296,120

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #215077 ← → #215087

Radix Representation

Decimal	215080
Binary	110100100000101000 (18 bits)
Octal	0o644050
Hexadecimal	0x34828

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 283 380 566 760 1,132 1,415 2,264 2,830 5,377 5,660 10,754 11,320 21,508 26,885 43,016 53,770 107,540 215,080

Collatz Trajectory (49 steps to reach 1)

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

215,080 107,540 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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