7,730,728

2³ × 67 × 14423

7,730,728 has the prime decomposition 2^3 × 67 × 14423. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 67 × 14423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,712,480

Proper Divisor Sum 6,981,752

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7730719 ← → #7730731

Radix Representation

Decimal	7730728
Binary	11101011111011000101000 (23 bits)
Octal	0o35373050
Hexadecimal	0x75F628

Divisor Catalog (16)

1 2 4 8 67 134 268 536 14,423 28,846 57,692 115,384 966,341 1,932,682 3,865,364 7,730,728

Collatz Trajectory (49 steps to reach 1)

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

7,730,728 3,865,364 1,932,682 966,341 2,899,024 1,449,512 724,756 362,378 181,189 543,568 271,784 135,892 67,946 33,973 101,920 50,960 25,480 12,740 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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