λ
Sigma Notebook

8,397,596

22 × 71 × 29569
Deficient Even Composite

8,397,596 is even and not a perfect square. Its factorization is 2^2 × 71 × 29569 and its 12 divisors sum to 14,903,280.

Prime Factor Structure

Factorization String 2^2 × 71 × 29569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,903,280
Proper Divisor Sum 6,505,684
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8397583 ← → #8397611

Radix Representation

Decimal 8397596
Binary 100000000010001100011100 (24 bits)
Octal 0o40021434
Hexadecimal 0x80231C

Divisor Catalog (12)

1 2 4 71 142 284 29,569 59,138 118,276 2,099,399 4,198,798 8,397,596

Collatz Trajectory (106 steps to reach 1)

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

8,397,596 4,198,798 2,099,399 6,298,198 3,149,099 9,447,298 4,723,649 14,170,948 7,085,474 3,542,737 10,628,212 5,314,106 2,657,053 7,971,160 3,985,580 1,992,790 996,395 2,989,186 1,494,593 4,483,780 2,241,890 1,120,945 3,362,836 1,681,418 840,709 2,522,128 1,261,064 630,532 315,266 157,633 472,900 236,450 118,225 354,676 177,338 88,669 266,008 133,004 66,502 33,251 99,754 49,877 149,632 74,816 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247

More profiles

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