λ
Match Zalai

2,838,027

3 × 29 × 32621
Deficient Odd Composite

2,838,027 factors as 3 × 29 × 32621. Its 8 positive divisors give a proper-divisor sum of 1,076,613, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 29 × 32621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,914,640
Proper Divisor Sum 1,076,613
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2838023 ← → #2838037

Radix Representation

Decimal 2838027
Binary 1010110100111000001011 (22 bits)
Octal 0o12647013
Hexadecimal 0x2B4E0B

Divisor Catalog (8)

1 3 29 87 32,621 97,863 946,009 2,838,027

Collatz Trajectory (200 steps to reach 1)

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

2,838,027 8,514,082 4,257,041 12,771,124 6,385,562 3,192,781 9,578,344 4,789,172 2,394,586 1,197,293 3,591,880 1,795,940 897,970 448,985 1,346,956 673,478 336,739 1,010,218 505,109 1,515,328 757,664 378,832 189,416 94,708 47,354 23,677 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004

More profiles

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