λ
Sigma Notebook

3,695,505

3 × 5 × 11 × 22397
Deficient Odd Composite

3,695,505 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 22397 and its 16 divisors sum to 6,450,624.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 22397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,450,624
Proper Divisor Sum 2,755,119
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3695501 ← → #3695507

Radix Representation

Decimal 3695505
Binary 1110000110001110010001 (22 bits)
Octal 0o16061621
Hexadecimal 0x386391

Divisor Catalog (16)

1 3 5 11 15 33 55 165 22,397 67,191 111,985 246,367 335,955 739,101 1,231,835 3,695,505

Collatz Trajectory (97 steps to reach 1)

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

3,695,505 11,086,516 5,543,258 2,771,629 8,314,888 4,157,444 2,078,722 1,039,361 3,118,084 1,559,042 779,521 2,338,564 1,169,282 584,641 1,753,924 876,962 438,481 1,315,444 657,722 328,861 986,584 493,292 246,646 123,323 369,970 184,985 554,956 277,478 138,739 416,218 208,109 624,328 312,164 156,082 78,041 234,124 117,062 58,531 175,594 87,797 263,392 131,696 65,848 32,924 16,462 8,231 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907

More profiles

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