λ
Zalai Atlas

6,784,331

2083 × 3257
Deficient Odd Composite

6,784,331 has the prime decomposition 2083 × 3257. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2083 × 3257
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,789,672
Proper Divisor Sum 5,341
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6784321 ← → #6784361

Radix Representation

Decimal 6784331
Binary 11001111000010101001011 (23 bits)
Octal 0o31702513
Hexadecimal 0x67854B

Divisor Catalog (4)

1 2,083 3,257 6,784,331

Collatz Trajectory (59 steps to reach 1)

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

6,784,331 20,352,994 10,176,497 30,529,492 15,264,746 7,632,373 22,897,120 11,448,560 5,724,280 2,862,140 1,431,070 715,535 2,146,606 1,073,303 3,219,910 1,609,955 4,829,866 2,414,933 7,244,800 3,622,400 1,811,200 905,600 452,800 226,400 113,200 56,600 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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