6,998,048

2⁵ × 29 × 7541

6,998,048 has the prime decomposition 2^5 × 29 × 7541. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 29 × 7541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,254,380

Proper Divisor Sum 7,256,332

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6998039 ← → #6998051

Radix Representation

Decimal	6998048
Binary	11010101100100000100000 (23 bits)
Octal	0o32544040
Hexadecimal	0x6AC820

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 7,541 15,082 30,164 60,328 120,656 218,689 241,312 437,378 874,756 1,749,512 3,499,024 6,998,048

Collatz Trajectory (72 steps to reach 1)

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

6,998,048 3,499,024 1,749,512 874,756 437,378 218,689 656,068 328,034 164,017 492,052 246,026 123,013 369,040 184,520 92,260 46,130 23,065 69,196 34,598 17,299 51,898 25,949 77,848 38,924 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35

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