7,426,874

2 × 7 × 13² × 43 × 73

7,426,874 has the prime decomposition 2 × 7 × 13^2 × 43 × 73. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 43 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,300,352

Proper Divisor Sum 6,873,478

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7426873 ← → #7426877

Radix Representation

Decimal	7426874
Binary	11100010101001100111010 (23 bits)
Octal	0o34251472
Hexadecimal	0x71533A

Divisor Catalog (48)

1 2 7 13 14 26 43 73 86 91 146 169 182 301 338 511 559 602 949 1,022 1,118 1,183 1,898 2,366 3,139 3,913 6,278 6,643 7,267 7,826 12,337 13,286 14,534 21,973 24,674 40,807 43,946 50,869 81,614 86,359 101,738 172,718 285,649 530,491 571,298 1,060,982 3,713,437 7,426,874

Collatz Trajectory (235 steps to reach 1)

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

7,426,874 3,713,437 11,140,312 5,570,156 2,785,078 1,392,539 4,177,618 2,088,809 6,266,428 3,133,214 1,566,607 4,699,822 2,349,911 7,049,734 3,524,867 10,574,602 5,287,301 15,861,904 7,930,952 3,965,476 1,982,738 991,369 2,974,108 1,487,054 743,527 2,230,582 1,115,291 3,345,874 1,672,937 5,018,812 2,509,406 1,254,703 3,764,110 1,882,055 5,646,166 2,823,083 8,469,250 4,234,625 12,703,876 6,351,938 3,175,969 9,527,908 4,763,954 2,381,977 7,145,932 3,572,966 1,786,483 5,359,450 2,679,725 8,039,176 4,019,588 2,009,794 1,004,897 3,014,692 1,507,346 753,673 2,261,020 1,130,510 565,255 1,695,766

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