λ
Sigma Notebook

8,123,321

8123321
Deficient Odd Prime

8,123,321 is odd and not a perfect square. Its factorization is 8123321 and its 2 divisors sum to 8,123,322.

Prime Factor Structure

Factorization String 8123321
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,123,322
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8123303 ← → #8123327

Radix Representation

Decimal 8123321
Binary 11110111111001110111001 (23 bits)
Octal 0o36771671
Hexadecimal 0x7BF3B9

Divisor Catalog (2)

Collatz Trajectory (85 steps to reach 1)

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

8,123,321 24,369,964 12,184,982 6,092,491 18,277,474 9,138,737 27,416,212 13,708,106 6,854,053 20,562,160 10,281,080 5,140,540 2,570,270 1,285,135 3,855,406 1,927,703 5,783,110 2,891,555 8,674,666 4,337,333 13,012,000 6,506,000 3,253,000 1,626,500 813,250 406,625 1,219,876 609,938 304,969 914,908 457,454 228,727 686,182 343,091 1,029,274 514,637 1,543,912 771,956 385,978 192,989 578,968 289,484 144,742 72,371 217,114 108,557 325,672 162,836 81,418 40,709 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588

More profiles

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