λ
Match Zalai

2,993,417

7 × 179 × 2389
Deficient Odd Composite

2,993,417 factors as 7 × 179 × 2389. Its 8 positive divisors give a proper-divisor sum of 448,183, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 7 × 179 × 2389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,441,600
Proper Divisor Sum 448,183
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2993407 ← → #2993423

Radix Representation

Decimal 2993417
Binary 1011011010110100001001 (22 bits)
Octal 0o13326411
Hexadecimal 0x2DAD09

Divisor Catalog (8)

1 7 179 1,253 2,389 16,723 427,631 2,993,417

Collatz Trajectory (89 steps to reach 1)

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

2,993,417 8,980,252 4,490,126 2,245,063 6,735,190 3,367,595 10,102,786 5,051,393 15,154,180 7,577,090 3,788,545 11,365,636 5,682,818 2,841,409 8,524,228 4,262,114 2,131,057 6,393,172 3,196,586 1,598,293 4,794,880 2,397,440 1,198,720 599,360 299,680 149,840 74,920 37,460 18,730 9,365 28,096 14,048 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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