7,028,289

3⁶ × 31 × 311

7,028,289 factors as 3^6 × 31 × 311. Its 28 positive divisors give a proper-divisor sum of 3,884,223, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^6 × 31 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 10,912,512

Proper Divisor Sum 3,884,223

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7028279 ← → #7028297

Radix Representation

Decimal	7028289
Binary	11010110011111001000001 (23 bits)
Octal	0o32637101
Hexadecimal	0x6B3E41

Divisor Catalog (28)

1 3 9 27 31 81 93 243 279 311 729 837 933 2,511 2,799 7,533 8,397 9,641 22,599 25,191 28,923 75,573 86,769 226,719 260,307 780,921 2,342,763 7,028,289

Collatz Trajectory (98 steps to reach 1)

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

7,028,289 21,084,868 10,542,434 5,271,217 15,813,652 7,906,826 3,953,413 11,860,240 5,930,120 2,965,060 1,482,530 741,265 2,223,796 1,111,898 555,949 1,667,848 833,924 416,962 208,481 625,444 312,722 156,361 469,084 234,542 117,271 351,814 175,907 527,722 263,861 791,584 395,792 197,896 98,948 49,474 24,737 74,212 37,106 18,553 55,660 27,830 13,915 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584

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