λ
Prime Ledger

917,006

2 × 41 × 53 × 211
Deficient Even Composite

917,006 has the prime decomposition 2 × 41 × 53 × 211. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 53 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,442,448
Proper Divisor Sum 525,442
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #917003 ← → #917039

Radix Representation

Decimal 917006
Binary 11011111111000001110 (20 bits)
Octal 0o3377016
Hexadecimal 0xDFE0E

Divisor Catalog (16)

1 2 41 53 82 106 211 422 2,173 4,346 8,651 11,183 17,302 22,366 458,503 917,006

Collatz Trajectory (64 steps to reach 1)

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

917,006 458,503 1,375,510 687,755 2,063,266 1,031,633 3,094,900 1,547,450 773,725 2,321,176 1,160,588 580,294 290,147 870,442 435,221 1,305,664 652,832 326,416 163,208 81,604 40,802 20,401 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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