λ
Modular Archive

6,997,005

32 × 5 × 61 × 2549
Deficient Odd Composite

The decimal integer 6,997,005 is 11010101100010000001101 in binary (23 bits), 32542015 in octal and 6AC40D in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^2 × 5 × 61 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,331,800
Proper Divisor Sum 5,334,795
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6996989 ← → #6997021

Radix Representation

Decimal 6997005
Binary 11010101100010000001101 (23 bits)
Octal 0o32542015
Hexadecimal 0x6AC40D

Divisor Catalog (24)

1 3 5 9 15 45 61 183 305 549 915 2,549 2,745 7,647 12,745 22,941 38,235 114,705 155,489 466,467 777,445 1,399,401 2,332,335 6,997,005

Collatz Trajectory (72 steps to reach 1)

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

6,997,005 20,991,016 10,495,508 5,247,754 2,623,877 7,871,632 3,935,816 1,967,908 983,954 491,977 1,475,932 737,966 368,983 1,106,950 553,475 1,660,426 830,213 2,490,640 1,245,320 622,660 311,330 155,665 466,996 233,498 116,749 350,248 175,124 87,562 43,781 131,344 65,672 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

More profiles

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