7,767,204

2² × 3 × 41 × 15787

7,767,204 has digital root 6. The neighboring primes are 7767197 and 7767217; its proper-divisor sum differs from the starting integer by 3,032,280.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 15787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,566,688

Proper Divisor Sum 10,799,484

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7767197 ← → #7767217

Radix Representation

Decimal	7767204
Binary	11101101000010010100100 (23 bits)
Octal	0o35502244
Hexadecimal	0x7684A4

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 15,787 31,574 47,361 63,148 94,722 189,444 647,267 1,294,534 1,941,801 2,589,068 3,883,602 7,767,204

Collatz Trajectory (142 steps to reach 1)

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

7,767,204 3,883,602 1,941,801 5,825,404 2,912,702 1,456,351 4,369,054 2,184,527 6,553,582 3,276,791 9,830,374 4,915,187 14,745,562 7,372,781 22,118,344 11,059,172 5,529,586 2,764,793 8,294,380 4,147,190 2,073,595 6,220,786 3,110,393 9,331,180 4,665,590 2,332,795 6,998,386 3,499,193 10,497,580 5,248,790 2,624,395 7,873,186 3,936,593 11,809,780 5,904,890 2,952,445 8,857,336 4,428,668 2,214,334 1,107,167 3,321,502 1,660,751 4,982,254 2,491,127 7,473,382 3,736,691 11,210,074 5,605,037 16,815,112 8,407,556 4,203,778 2,101,889 6,305,668 3,152,834 1,576,417 4,729,252 2,364,626 1,182,313 3,546,940 1,773,470

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