λ
Integer Codex

3,948,589

3948589
Deficient Odd Prime

For 3,948,589, the 2 positive divisors have a total of 3,948,590. Removing 3,948,589 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 3948589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,948,590
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #3948583 ← → #3948613

Radix Representation

Decimal 3948589
Binary 1111000100000000101101 (22 bits)
Octal 0o17040055
Hexadecimal 0x3C402D

Divisor Catalog (2)

1 3,948,589

Collatz Trajectory (66 steps to reach 1)

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

3,948,589 11,845,768 5,922,884 2,961,442 1,480,721 4,442,164 2,221,082 1,110,541 3,331,624 1,665,812 832,906 416,453 1,249,360 624,680 312,340 156,170 78,085 234,256 117,128 58,564 29,282 14,641 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

More profiles

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