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Atlas › Integer Profiles › Node 3,673,683

3,673,683

32 × 13 × 17 × 1847
Deficient Odd Composite

3,673,683 factors as 3^2 × 13 × 17 × 1847. Its 24 positive divisors give a proper-divisor sum of 2,380,365, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 1847
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,054,048
Proper Divisor Sum 2,380,365
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3673651 ← → #3673687

Radix Representation

Decimal 3673683
Binary 1110000000111001010011 (22 bits)
Octal 0o16007123
Hexadecimal 0x380E53

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 663 1,847 1,989 5,541 16,623 24,011 31,399 72,033 94,197 216,099 282,591 408,187 1,224,561 3,673,683

Collatz Trajectory (203 steps to reach 1)

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

3,673,683 11,021,050 5,510,525 16,531,576 8,265,788 4,132,894 2,066,447 6,199,342 3,099,671 9,299,014 4,649,507 13,948,522 6,974,261 20,922,784 10,461,392 5,230,696 2,615,348 1,307,674 653,837 1,961,512 980,756 490,378 245,189 735,568 367,784 183,892 91,946 45,973 137,920 68,960 34,480 17,240 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327

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