6,821,404

2² × 67 × 25453

6,821,404 factors as 2^2 × 67 × 25453. Its 12 positive divisors give a proper-divisor sum of 5,294,700, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 25453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,116,104

Proper Divisor Sum 5,294,700

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6821401 ← → #6821407

Radix Representation

Decimal	6821404
Binary	11010000001011000011100 (23 bits)
Octal	0o32013034
Hexadecimal	0x68161C

Divisor Catalog (12)

1 2 4 67 134 268 25,453 50,906 101,812 1,705,351 3,410,702 6,821,404

Collatz Trajectory (116 steps to reach 1)

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

6,821,404 3,410,702 1,705,351 5,116,054 2,558,027 7,674,082 3,837,041 11,511,124 5,755,562 2,877,781 8,633,344 4,316,672 2,158,336 1,079,168 539,584 269,792 134,896 67,448 33,724 16,862 8,431 25,294 12,647 37,942 18,971 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216

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