3,967,977

3 × 13 × 71 × 1433

Prime Factor Structure

Factorization String 3 × 13 × 71 × 1433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,781,888

Proper Divisor Sum 1,813,911

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #3967973 ← → #3967993

Radix Representation

Decimal	3967977
Binary	1111001000101111101001 (22 bits)
Octal	0o17105751
Hexadecimal	0x3C8BE9

Divisor Catalog (16)

1 3 13 39 71 213 923 1,433 2,769 4,299 18,629 55,887 101,743 305,229 1,322,659 3,967,977

Collatz Trajectory (172 steps to reach 1)

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

3,967,977 11,903,932 5,951,966 2,975,983 8,927,950 4,463,975 13,391,926 6,695,963 20,087,890 10,043,945 30,131,836 15,065,918 7,532,959 22,598,878 11,299,439 33,898,318 16,949,159 50,847,478 25,423,739 76,271,218 38,135,609 114,406,828 57,203,414 28,601,707 85,805,122 42,902,561 128,707,684 64,353,842 32,176,921 96,530,764 48,265,382 24,132,691 72,398,074 36,199,037 108,597,112 54,298,556 27,149,278 13,574,639 40,723,918 20,361,959 61,085,878 30,542,939 91,628,818 45,814,409 137,443,228 68,721,614 34,360,807 103,082,422 51,541,211 154,623,634 77,311,817 231,935,452 115,967,726 57,983,863 173,951,590 86,975,795 260,927,386 130,463,693 391,391,080 195,695,540

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