8,006,271

3 × 7 × 13 × 29327

8,006,271 has digital root 6. The neighboring primes are 8006237 and 8006279; its proper-divisor sum differs from the starting integer by -2,873,598.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 29327

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,138,944

Proper Divisor Sum 5,132,673

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8006237 ← → #8006279

Radix Representation

Decimal	8006271
Binary	11110100010101001111111 (23 bits)
Octal	0o36425177
Hexadecimal	0x7A2A7F

Divisor Catalog (16)

1 3 7 13 21 39 91 273 29,327 87,981 205,289 381,251 615,867 1,143,753 2,668,757 8,006,271

Collatz Trajectory (168 steps to reach 1)

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

8,006,271 24,018,814 12,009,407 36,028,222 18,014,111 54,042,334 27,021,167 81,063,502 40,531,751 121,595,254 60,797,627 182,392,882 91,196,441 273,589,324 136,794,662 68,397,331 205,191,994 102,595,997 307,787,992 153,893,996 76,946,998 38,473,499 115,420,498 57,710,249 173,130,748 86,565,374 43,282,687 129,848,062 64,924,031 194,772,094 97,386,047 292,158,142 146,079,071 438,237,214 219,118,607 657,355,822 328,677,911 986,033,734 493,016,867 1,479,050,602 739,525,301 2,218,575,904 1,109,287,952 554,643,976 277,321,988 138,660,994 69,330,497 207,991,492 103,995,746 51,997,873 155,993,620 77,996,810 38,998,405 116,995,216 58,497,608 29,248,804 14,624,402 7,312,201 21,936,604 10,968,302

← Previous Integer #8,006,270 Browse Full Index Next Integer #8,006,272 →