λ
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867,009

3 × 11 × 13 × 43 × 47
Deficient Odd Composite

867,009 factors as 3 × 11 × 13 × 43 × 47. Its 32 positive divisors give a proper-divisor sum of 552,255, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 43 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,419,264
Proper Divisor Sum 552,255
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #867007 ← → #867011

Radix Representation

Decimal 867009
Binary 11010011101011000001 (20 bits)
Octal 0o3235301
Hexadecimal 0xD3AC1

Divisor Catalog (32)

1 3 11 13 33 39 43 47 129 141 143 429 473 517 559 611 1,419 1,551 1,677 1,833 2,021 6,063 6,149 6,721 18,447 20,163 22,231 26,273 66,693 78,819 289,003 867,009

Collatz Trajectory (188 steps to reach 1)

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

867,009 2,601,028 1,300,514 650,257 1,950,772 975,386 487,693 1,463,080 731,540 365,770 182,885 548,656 274,328 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

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