3,942,208

2⁶ × 31 × 1987

3,942,208 has digital root 1. The neighboring primes are 3942137 and 3942209; its proper-divisor sum differs from the starting integer by 194,816.

Prime Factor Structure

Factorization String 2^6 × 31 × 1987

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 8,079,232

Proper Divisor Sum 4,137,024

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3942137 ← → #3942209

Radix Representation

Decimal	3942208
Binary	1111000010011101000000 (22 bits)
Octal	0o17023500
Hexadecimal	0x3C2740

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,984 1,987 3,974 7,948 15,896 31,792 61,597 63,584 123,194 127,168 246,388 492,776 985,552 1,971,104 3,942,208

Collatz Trajectory (154 steps to reach 1)

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

3,942,208 1,971,104 985,552 492,776 246,388 123,194 61,597 184,792 92,396 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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