3,673,971

3³ × 7² × 2777

3,673,971 factors as 3^3 × 7^2 × 2777. Its 24 positive divisors give a proper-divisor sum of 2,659,869, so this integer is deficient. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 2777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,333,840

Proper Divisor Sum 2,659,869

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3673961 ← → #3673979

Radix Representation

Decimal	3673971
Binary	1110000000111101110011 (22 bits)
Octal	0o16007563
Hexadecimal	0x380F73

Divisor Catalog (24)

Collatz Trajectory (58 steps to reach 1)

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

3,673,971 11,021,914 5,510,957 16,532,872 8,266,436 4,133,218 2,066,609 6,199,828 3,099,914 1,549,957 4,649,872 2,324,936 1,162,468 581,234 290,617 871,852 435,926 217,963 653,890 326,945 980,836 490,418 245,209 735,628 367,814 183,907 551,722 275,861 827,584 413,792 206,896 103,448 51,724 25,862 12,931 38,794 19,397 58,192 29,096 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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