3,131,830

2 × 5 × 13 × 24091

3,131,830 has digital root 1. The neighboring primes are 3131771 and 3131833; its proper-divisor sum differs from the starting integer by -192,476.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 24091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,071,184

Proper Divisor Sum 2,939,354

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3131771 ← → #3131833

Radix Representation

Decimal	3131830
Binary	1011111100100110110110 (22 bits)
Octal	0o13744666
Hexadecimal	0x2FC9B6

Divisor Catalog (16)

1 2 5 10 13 26 65 130 24,091 48,182 120,455 240,910 313,183 626,366 1,565,915 3,131,830

Collatz Trajectory (133 steps to reach 1)

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

3,131,830 1,565,915 4,697,746 2,348,873 7,046,620 3,523,310 1,761,655 5,284,966 2,642,483 7,927,450 3,963,725 11,891,176 5,945,588 2,972,794 1,486,397 4,459,192 2,229,596 1,114,798 557,399 1,672,198 836,099 2,508,298 1,254,149 3,762,448 1,881,224 940,612 470,306 235,153 705,460 352,730 176,365 529,096 264,548 132,274 66,137 198,412 99,206 49,603 148,810 74,405 223,216 111,608 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191

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