λ
Prime Ledger

8,324,336

24 × 73 × 7127
Deficient Even Composite

8,324,336 has the prime decomposition 2^4 × 73 × 7127. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 73 × 7127
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,351,632
Proper Divisor Sum 8,027,296
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8324333 ← → #8324347

Radix Representation

Decimal 8324336
Binary 11111110000010011110000 (23 bits)
Octal 0o37602360
Hexadecimal 0x7F04F0

Divisor Catalog (20)

1 2 4 8 16 73 146 292 584 1,168 7,127 14,254 28,508 57,016 114,032 520,271 1,040,542 2,081,084 4,162,168 8,324,336

Collatz Trajectory (137 steps to reach 1)

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

8,324,336 4,162,168 2,081,084 1,040,542 520,271 1,560,814 780,407 2,341,222 1,170,611 3,511,834 1,755,917 5,267,752 2,633,876 1,316,938 658,469 1,975,408 987,704 493,852 246,926 123,463 370,390 185,195 555,586 277,793 833,380 416,690 208,345 625,036 312,518 156,259 468,778 234,389 703,168 351,584 175,792 87,896 43,948 21,974 10,987 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810

More profiles

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