λ
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Atlas › Integer Profiles › Node 6,603,765

6,603,765

3 × 5 × 7 × 109 × 577
Deficient Odd Composite

6,603,765 factors as 3 × 5 × 7 × 109 × 577. Its 32 positive divisors give a proper-divisor sum of 5,603,595, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 109 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,207,360
Proper Divisor Sum 5,603,595
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6603763 ← → #6603787

Radix Representation

Decimal 6603765
Binary 11001001100001111110101 (23 bits)
Octal 0o31141765
Hexadecimal 0x64C3F5

Divisor Catalog (32)

1 3 5 7 15 21 35 105 109 327 545 577 763 1,635 1,731 2,289 2,885 3,815 4,039 8,655 11,445 12,117 20,195 60,585 62,893 188,679 314,465 440,251 943,395 1,320,753 2,201,255 6,603,765

Collatz Trajectory (240 steps to reach 1)

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

6,603,765 19,811,296 9,905,648 4,952,824 2,476,412 1,238,206 619,103 1,857,310 928,655 2,785,966 1,392,983 4,178,950 2,089,475 6,268,426 3,134,213 9,402,640 4,701,320 2,350,660 1,175,330 587,665 1,762,996 881,498 440,749 1,322,248 661,124 330,562 165,281 495,844 247,922 123,961 371,884 185,942 92,971 278,914 139,457 418,372 209,186 104,593 313,780 156,890 78,445 235,336 117,668 58,834 29,417 88,252 44,126 22,063 66,190 33,095 99,286 49,643 148,930 74,465 223,396 111,698 55,849 167,548 83,774 41,887

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