5,328,921

3 × 13 × 107 × 1277

5,328,921 has digital root 3. The neighboring primes are 5328913 and 5328989; its proper-divisor sum differs from the starting integer by -2,928,498.

Prime Factor Structure

Factorization String 3 × 13 × 107 × 1277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,729,344

Proper Divisor Sum 2,400,423

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5328913 ← → #5328989

Radix Representation

Decimal	5328921
Binary	10100010101000000011001 (23 bits)
Octal	0o24250031
Hexadecimal	0x515019

Divisor Catalog (16)

1 3 13 39 107 321 1,277 1,391 3,831 4,173 16,601 49,803 136,639 409,917 1,776,307 5,328,921

Collatz Trajectory (144 steps to reach 1)

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

5,328,921 15,986,764 7,993,382 3,996,691 11,990,074 5,995,037 17,985,112 8,992,556 4,496,278 2,248,139 6,744,418 3,372,209 10,116,628 5,058,314 2,529,157 7,587,472 3,793,736 1,896,868 948,434 474,217 1,422,652 711,326 355,663 1,066,990 533,495 1,600,486 800,243 2,400,730 1,200,365 3,601,096 1,800,548 900,274 450,137 1,350,412 675,206 337,603 1,012,810 506,405 1,519,216 759,608 379,804 189,902 94,951 284,854 142,427 427,282 213,641 640,924 320,462 160,231 480,694 240,347 721,042 360,521 1,081,564 540,782 270,391 811,174 405,587 1,216,762

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