7,767,840

2⁵ × 3 × 5 × 16183

7,767,840 is even and not a perfect square. Its factorization is 2^5 × 3 × 5 × 16183 and its 48 divisors sum to 24,470,208.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 16183

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,470,208

Proper Divisor Sum 16,702,368

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7767811 ← → #7767869

Radix Representation

Decimal	7767840
Binary	11101101000011100100000 (23 bits)
Octal	0o35503440
Hexadecimal	0x768720

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16,183 32,366 48,549 64,732 80,915 97,098 129,464 161,830 194,196 242,745 258,928 323,660 388,392 485,490 517,856 647,320 776,784 970,980 1,294,640 1,553,568 1,941,960 2,589,280 3,883,920 7,767,840

Collatz Trajectory (186 steps to reach 1)

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

7,767,840 3,883,920 1,941,960 970,980 485,490 242,745 728,236 364,118 182,059 546,178 273,089 819,268 409,634 204,817 614,452 307,226 153,613 460,840 230,420 115,210 57,605 172,816 86,408 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370

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