λ
Ratio Atlas

3,956,731

19 × 29 × 43 × 167
Deficient Odd Composite

3,956,731 factors as 19 × 29 × 43 × 167. Its 16 positive divisors give a proper-divisor sum of 478,469, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 19 × 29 × 43 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,435,200
Proper Divisor Sum 478,469
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3956681 ← → #3956737

Radix Representation

Decimal 3956731
Binary 1111000101111111111011 (22 bits)
Octal 0o17057773
Hexadecimal 0x3C5FFB

Divisor Catalog (16)

1 19 29 43 167 551 817 1,247 3,173 4,843 7,181 23,693 92,017 136,439 208,249 3,956,731

Collatz Trajectory (216 steps to reach 1)

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

3,956,731 11,870,194 5,935,097 17,805,292 8,902,646 4,451,323 13,353,970 6,676,985 20,030,956 10,015,478 5,007,739 15,023,218 7,511,609 22,534,828 11,267,414 5,633,707 16,901,122 8,450,561 25,351,684 12,675,842 6,337,921 19,013,764 9,506,882 4,753,441 14,260,324 7,130,162 3,565,081 10,695,244 5,347,622 2,673,811 8,021,434 4,010,717 12,032,152 6,016,076 3,008,038 1,504,019 4,512,058 2,256,029 6,768,088 3,384,044 1,692,022 846,011 2,538,034 1,269,017 3,807,052 1,903,526 951,763 2,855,290 1,427,645 4,282,936 2,141,468 1,070,734 535,367 1,606,102 803,051 2,409,154 1,204,577 3,613,732 1,806,866 903,433

More profiles

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