λ
Sigma Notebook

3,735,757

109 × 34273
Deficient Odd Composite

3,735,757 is odd and not a perfect square. Its factorization is 109 × 34273 and its 4 divisors sum to 3,770,140.

Prime Factor Structure

Factorization String 109 × 34273
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,770,140
Proper Divisor Sum 34,383
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3735737 ← → #3735763

Radix Representation

Decimal 3735757
Binary 1110010000000011001101 (22 bits)
Octal 0o16200315
Hexadecimal 0x3900CD

Divisor Catalog (4)

1 109 34,273 3,735,757

Collatz Trajectory (97 steps to reach 1)

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

3,735,757 11,207,272 5,603,636 2,801,818 1,400,909 4,202,728 2,101,364 1,050,682 525,341 1,576,024 788,012 394,006 197,003 591,010 295,505 886,516 443,258 221,629 664,888 332,444 166,222 83,111 249,334 124,667 374,002 187,001 561,004 280,502 140,251 420,754 210,377 631,132 315,566 157,783 473,350 236,675 710,026 355,013 1,065,040 532,520 266,260 133,130 66,565 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950

More profiles

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