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Atlas › Integer Profiles › Node 3,147,176

3,147,176

23 × 17 × 73 × 317
Abundant Even Composite

3,147,176 factors as 2^3 × 17 × 73 × 317. Its 32 positive divisors give a proper-divisor sum of 3,206,464, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 73 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,353,640
Proper Divisor Sum 3,206,464
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3147169 ← → #3147181

Radix Representation

Decimal 3147176
Binary 1100000000010110101000 (22 bits)
Octal 0o14002650
Hexadecimal 0x3005A8

Divisor Catalog (32)

1 2 4 8 17 34 68 73 136 146 292 317 584 634 1,241 1,268 2,482 2,536 4,964 5,389 9,928 10,778 21,556 23,141 43,112 46,282 92,564 185,128 393,397 786,794 1,573,588 3,147,176

Collatz Trajectory (58 steps to reach 1)

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

3,147,176 1,573,588 786,794 393,397 1,180,192 590,096 295,048 147,524 73,762 36,881 110,644 55,322 27,661 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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