8,262,063

3² × 37 × 43 × 577

8,262,063 has digital root 9. The neighboring primes are 8262061 and 8262077; its proper-divisor sum differs from the starting integer by -3,960,718.

Prime Factor Structure

Factorization String 3^2 × 37 × 43 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,563,408

Proper Divisor Sum 4,301,345

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8262061 ← → #8262077

Radix Representation

Decimal	8262063
Binary	11111100001000110101111 (23 bits)
Octal	0o37410657
Hexadecimal	0x7E11AF

Divisor Catalog (24)

1 3 9 37 43 111 129 333 387 577 1,591 1,731 4,773 5,193 14,319 21,349 24,811 64,047 74,433 192,141 223,299 918,007 2,754,021 8,262,063

Collatz Trajectory (106 steps to reach 1)

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

8,262,063 24,786,190 12,393,095 37,179,286 18,589,643 55,768,930 27,884,465 83,653,396 41,826,698 20,913,349 62,740,048 31,370,024 15,685,012 7,842,506 3,921,253 11,763,760 5,881,880 2,940,940 1,470,470 735,235 2,205,706 1,102,853 3,308,560 1,654,280 827,140 413,570 206,785 620,356 310,178 155,089 465,268 232,634 116,317 348,952 174,476 87,238 43,619 130,858 65,429 196,288 98,144 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738

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