3,126,196

2² × 401 × 1949

3,126,196 has digital root 1. The neighboring primes are 3126191 and 3126199; its proper-divisor sum differs from the starting integer by -765,092.

Prime Factor Structure

Factorization String 2^2 × 401 × 1949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,487,300

Proper Divisor Sum 2,361,104

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3126191 ← → #3126199

Radix Representation

Decimal	3126196
Binary	1011111011001110110100 (22 bits)
Octal	0o13731664
Hexadecimal	0x2FB3B4

Divisor Catalog (12)

1 2 4 401 802 1,604 1,949 3,898 7,796 781,549 1,563,098 3,126,196

Collatz Trajectory (107 steps to reach 1)

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

3,126,196 1,563,098 781,549 2,344,648 1,172,324 586,162 293,081 879,244 439,622 219,811 659,434 329,717 989,152 494,576 247,288 123,644 61,822 30,911 92,734 46,367 139,102 69,551 208,654 104,327 312,982 156,491 469,474 234,737 704,212 352,106 176,053 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988

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