4,125,396

2² × 3 × 11 × 31253

4,125,396 has digital root 3. The neighboring primes are 4125383 and 4125403; its proper-divisor sum differs from the starting integer by 2,250,552.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 31253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,501,344

Proper Divisor Sum 6,375,948

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4125383 ← → #4125403

Radix Representation

Decimal	4125396
Binary	1111101111001011010100 (22 bits)
Octal	0o17571324
Hexadecimal	0x3EF2D4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 31,253 62,506 93,759 125,012 187,518 343,783 375,036 687,566 1,031,349 1,375,132 2,062,698 4,125,396

Collatz Trajectory (136 steps to reach 1)

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

4,125,396 2,062,698 1,031,349 3,094,048 1,547,024 773,512 386,756 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183

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