4,066,023

3 × 13 × 137 × 761

For 4,066,023, the 16 positive divisors have a total of 5,888,736. Removing 4,066,023 leaves 1,822,713, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 137 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,888,736

Proper Divisor Sum 1,822,713

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4066021 ← → #4066031

Radix Representation

Decimal	4066023
Binary	1111100000101011100111 (22 bits)
Octal	0o17405347
Hexadecimal	0x3E0AE7

Divisor Catalog (16)

1 3 13 39 137 411 761 1,781 2,283 5,343 9,893 29,679 104,257 312,771 1,355,341 4,066,023

Collatz Trajectory (198 steps to reach 1)

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

4,066,023 12,198,070 6,099,035 18,297,106 9,148,553 27,445,660 13,722,830 6,861,415 20,584,246 10,292,123 30,876,370 15,438,185 46,314,556 23,157,278 11,578,639 34,735,918 17,367,959 52,103,878 26,051,939 78,155,818 39,077,909 117,233,728 58,616,864 29,308,432 14,654,216 7,327,108 3,663,554 1,831,777 5,495,332 2,747,666 1,373,833 4,121,500 2,060,750 1,030,375 3,091,126 1,545,563 4,636,690 2,318,345 6,955,036 3,477,518 1,738,759 5,216,278 2,608,139 7,824,418 3,912,209 11,736,628 5,868,314 2,934,157 8,802,472 4,401,236 2,200,618 1,100,309 3,300,928 1,650,464 825,232 412,616 206,308 103,154 51,577 154,732

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