3,976,959

3 × 7 × 31 × 41 × 149

3,976,959 factors as 3 × 7 × 31 × 41 × 149. Its 32 positive divisors give a proper-divisor sum of 2,474,241, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 7 × 31 × 41 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,451,200

Proper Divisor Sum 2,474,241

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #3976949 ← → #3976969

Radix Representation

Decimal	3976959
Binary	1111001010111011111111 (22 bits)
Octal	0o17127377
Hexadecimal	0x3CAEFF

Divisor Catalog (32)

Collatz Trajectory (167 steps to reach 1)

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

3,976,959 11,930,878 5,965,439 17,896,318 8,948,159 26,844,478 13,422,239 40,266,718 20,133,359 60,400,078 30,200,039 90,600,118 45,300,059 135,900,178 67,950,089 203,850,268 101,925,134 50,962,567 152,887,702 76,443,851 229,331,554 114,665,777 343,997,332 171,998,666 85,999,333 257,998,000 128,999,000 64,499,500 32,249,750 16,124,875 48,374,626 24,187,313 72,561,940 36,280,970 18,140,485 54,421,456 27,210,728 13,605,364 6,802,682 3,401,341 10,204,024 5,102,012 2,551,006 1,275,503 3,826,510 1,913,255 5,739,766 2,869,883 8,609,650 4,304,825 12,914,476 6,457,238 3,228,619 9,685,858 4,842,929 14,528,788 7,264,394 3,632,197 10,896,592 5,448,296

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