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Atlas › Integer Profiles › Node 3,970,197

3,970,197

32 × 7 × 11 × 17 × 337
Deficient Odd Composite

3,970,197 factors as 3^2 × 7 × 11 × 17 × 337. Its 48 positive divisors give a proper-divisor sum of 3,622,635, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 17 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,592,832
Proper Divisor Sum 3,622,635
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3970189 ← → #3970199

Radix Representation

Decimal 3970197
Binary 1111001001010010010101 (22 bits)
Octal 0o17112225
Hexadecimal 0x3C9495

Divisor Catalog (48)

1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 337 357 561 693 1,011 1,071 1,309 1,683 2,359 3,033 3,707 3,927 5,729 7,077 11,121 11,781 17,187 21,231 25,949 33,363 40,103 51,561 63,019 77,847 120,309 189,057 233,541 360,927 441,133 567,171 1,323,399 3,970,197

Collatz Trajectory (123 steps to reach 1)

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

3,970,197 11,910,592 5,955,296 2,977,648 1,488,824 744,412 372,206 186,103 558,310 279,155 837,466 418,733 1,256,200 628,100 314,050 157,025 471,076 235,538 117,769 353,308 176,654 88,327 264,982 132,491 397,474 198,737 596,212 298,106 149,053 447,160 223,580 111,790 55,895 167,686 83,843 251,530 125,765 377,296 188,648 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198

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