λ
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Atlas › Integer Profiles › Node 18,705,670

18,705,670

2 × 5 × 23 × 167 × 487
Deficient Even Composite

18,705,670 factors as 2 × 5 × 23 × 167 × 487. Its 32 positive divisors give a proper-divisor sum of 16,711,418, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 167 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,417,088
Proper Divisor Sum 16,711,418
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18705653 ← → #18705677

Radix Representation

Decimal 18705670
Binary 1000111010110110100000110 (25 bits)
Octal 0o107266406
Hexadecimal 0x11D6D06

Divisor Catalog (32)

1 2 5 10 23 46 115 167 230 334 487 835 974 1,670 2,435 3,841 4,870 7,682 11,201 19,205 22,402 38,410 56,005 81,329 112,010 162,658 406,645 813,290 1,870,567 3,741,134 9,352,835 18,705,670

Collatz Trajectory (71 steps to reach 1)

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

18,705,670 9,352,835 28,058,506 14,029,253 42,087,760 21,043,880 10,521,940 5,260,970 2,630,485 7,891,456 3,945,728 1,972,864 986,432 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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