6,967,684

2² × 31 × 83 × 677

6,967,684 has digital root 1. The neighboring primes are 6967679 and 6967691; its proper-divisor sum differs from the starting integer by -1,178,120.

Prime Factor Structure

Factorization String 2^2 × 31 × 83 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,757,248

Proper Divisor Sum 5,789,564

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #6967679 ← → #6967691

Radix Representation

Decimal	6967684
Binary	11010100101000110000100 (23 bits)
Octal	0o32450604
Hexadecimal	0x6A5184

Divisor Catalog (24)

1 2 4 31 62 83 124 166 332 677 1,354 2,573 2,708 5,146 10,292 20,987 41,974 56,191 83,948 112,382 224,764 1,741,921 3,483,842 6,967,684

Collatz Trajectory (129 steps to reach 1)

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

6,967,684 3,483,842 1,741,921 5,225,764 2,612,882 1,306,441 3,919,324 1,959,662 979,831 2,939,494 1,469,747 4,409,242 2,204,621 6,613,864 3,306,932 1,653,466 826,733 2,480,200 1,240,100 620,050 310,025 930,076 465,038 232,519 697,558 348,779 1,046,338 523,169 1,569,508 784,754 392,377 1,177,132 588,566 294,283 882,850 441,425 1,324,276 662,138 331,069 993,208 496,604 248,302 124,151 372,454 186,227 558,682 279,341 838,024 419,012 209,506 104,753 314,260 157,130 78,565 235,696 117,848 58,924 29,462 14,731 44,194

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