4,087,565

5 × 17 × 19 × 2531

For 4,087,565, the 16 positive divisors have a total of 5,469,120. Removing 4,087,565 leaves 1,381,555, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 17 × 19 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,469,120

Proper Divisor Sum 1,381,555

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4087513 ← → #4087597

Radix Representation

Decimal	4087565
Binary	1111100101111100001101 (22 bits)
Octal	0o17457415
Hexadecimal	0x3E5F0D

Divisor Catalog (16)

1 5 17 19 85 95 323 1,615 2,531 12,655 43,027 48,089 215,135 240,445 817,513 4,087,565

Collatz Trajectory (92 steps to reach 1)

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

4,087,565 12,262,696 6,131,348 3,065,674 1,532,837 4,598,512 2,299,256 1,149,628 574,814 287,407 862,222 431,111 1,293,334 646,667 1,940,002 970,001 2,910,004 1,455,002 727,501 2,182,504 1,091,252 545,626 272,813 818,440 409,220 204,610 102,305 306,916 153,458 76,729 230,188 115,094 57,547 172,642 86,321 258,964 129,482 64,741 194,224 97,112 48,556 24,278 12,139 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322

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