3,977,964

2² × 3³ × 36833

3,977,964 factors as 2^2 × 3^3 × 36833. Its 24 positive divisors give a proper-divisor sum of 6,335,556, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 36833

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,313,520

Proper Divisor Sum 6,335,556

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3977947 ← → #3977977

Radix Representation

Decimal	3977964
Binary	1111001011001011101100 (22 bits)
Octal	0o17131354
Hexadecimal	0x3CB2EC

Divisor Catalog (24)

Collatz Trajectory (167 steps to reach 1)

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

3,977,964 1,988,982 994,491 2,983,474 1,491,737 4,475,212 2,237,606 1,118,803 3,356,410 1,678,205 5,034,616 2,517,308 1,258,654 629,327 1,887,982 943,991 2,831,974 1,415,987 4,247,962 2,123,981 6,371,944 3,185,972 1,592,986 796,493 2,389,480 1,194,740 597,370 298,685 896,056 448,028 224,014 112,007 336,022 168,011 504,034 252,017 756,052 378,026 189,013 567,040 283,520 141,760 70,880 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207

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