λ
Integer Codex

4,046,993

4046993
Deficient Odd Prime

For 4,046,993, the 2 positive divisors have a total of 4,046,994. Removing 4,046,993 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4046993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,046,994
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4046963 ← → #4047013

Radix Representation

Decimal 4046993
Binary 1111011100000010010001 (22 bits)
Octal 0o17340221
Hexadecimal 0x3DC091

Divisor Catalog (2)

Collatz Trajectory (123 steps to reach 1)

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

4,046,993 12,140,980 6,070,490 3,035,245 9,105,736 4,552,868 2,276,434 1,138,217 3,414,652 1,707,326 853,663 2,560,990 1,280,495 3,841,486 1,920,743 5,762,230 2,881,115 8,643,346 4,321,673 12,965,020 6,482,510 3,241,255 9,723,766 4,861,883 14,585,650 7,292,825 21,878,476 10,939,238 5,469,619 16,408,858 8,204,429 24,613,288 12,306,644 6,153,322 3,076,661 9,229,984 4,614,992 2,307,496 1,153,748 576,874 288,437 865,312 432,656 216,328 108,164 54,082 27,041 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670

More profiles

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