λ
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Atlas › Integer Profiles › Node 2,199,176

2,199,176

23 × 7 × 173 × 227
Abundant Even Composite

2,199,176 factors as 2^3 × 7 × 173 × 227. Its 32 positive divisors give a proper-divisor sum of 2,561,464, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 173 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,760,640
Proper Divisor Sum 2,561,464
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2199173 ← → #2199179

Radix Representation

Decimal 2199176
Binary 1000011000111010001000 (22 bits)
Octal 0o10307210
Hexadecimal 0x218E88

Divisor Catalog (32)

1 2 4 7 8 14 28 56 173 227 346 454 692 908 1,211 1,384 1,589 1,816 2,422 3,178 4,844 6,356 9,688 12,712 39,271 78,542 157,084 274,897 314,168 549,794 1,099,588 2,199,176

Collatz Trajectory (86 steps to reach 1)

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

2,199,176 1,099,588 549,794 274,897 824,692 412,346 206,173 618,520 309,260 154,630 77,315 231,946 115,973 347,920 173,960 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65

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