8,214,621

3 × 17 × 161071

For 8,214,621, the 8 positive divisors have a total of 11,597,184. Removing 8,214,621 leaves 3,382,563, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 161071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,597,184

Proper Divisor Sum 3,382,563

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8214601 ← → #8214623

Radix Representation

Decimal	8214621
Binary	11111010101100001011101 (23 bits)
Octal	0o37254135
Hexadecimal	0x7D585D

Divisor Catalog (8)

1 3 17 51 161,071 483,213 2,738,207 8,214,621

Collatz Trajectory (80 steps to reach 1)

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

8,214,621 24,643,864 12,321,932 6,160,966 3,080,483 9,241,450 4,620,725 13,862,176 6,931,088 3,465,544 1,732,772 866,386 433,193 1,299,580 649,790 324,895 974,686 487,343 1,462,030 731,015 2,193,046 1,096,523 3,289,570 1,644,785 4,934,356 2,467,178 1,233,589 3,700,768 1,850,384 925,192 462,596 231,298 115,649 346,948 173,474 86,737 260,212 130,106 65,053 195,160 97,580 48,790 24,395 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448

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