λ
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Atlas › Integer Profiles › Node 9,206,758

9,206,758

2 × 11 × 17 × 103 × 239
Deficient Even Composite

9,206,758 factors as 2 × 11 × 17 × 103 × 239. Its 32 positive divisors give a proper-divisor sum of 6,967,322, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 103 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,174,080
Proper Divisor Sum 6,967,322
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9206753 ← → #9206761

Radix Representation

Decimal 9206758
Binary 100011000111101111100110 (24 bits)
Octal 0o43075746
Hexadecimal 0x8C7BE6

Divisor Catalog (32)

1 2 11 17 22 34 103 187 206 239 374 478 1,133 1,751 2,266 2,629 3,502 4,063 5,258 8,126 19,261 24,617 38,522 44,693 49,234 89,386 270,787 418,489 541,574 836,978 4,603,379 9,206,758

Collatz Trajectory (194 steps to reach 1)

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

9,206,758 4,603,379 13,810,138 6,905,069 20,715,208 10,357,604 5,178,802 2,589,401 7,768,204 3,884,102 1,942,051 5,826,154 2,913,077 8,739,232 4,369,616 2,184,808 1,092,404 546,202 273,101 819,304 409,652 204,826 102,413 307,240 153,620 76,810 38,405 115,216 57,608 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740

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