5,325,129

3³ × 167 × 1181

5,325,129 has digital root 9. The neighboring primes are 5325109 and 5325139; its proper-divisor sum differs from the starting integer by -2,707,218.

Prime Factor Structure

Factorization String 3^3 × 167 × 1181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,943,040

Proper Divisor Sum 2,617,911

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5325109 ← → #5325139

Radix Representation

Decimal	5325129
Binary	10100010100000101001001 (23 bits)
Octal	0o24240511
Hexadecimal	0x514149

Divisor Catalog (16)

1 3 9 27 167 501 1,181 1,503 3,543 4,509 10,629 31,887 197,227 591,681 1,775,043 5,325,129

Collatz Trajectory (118 steps to reach 1)

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

5,325,129 15,975,388 7,987,694 3,993,847 11,981,542 5,990,771 17,972,314 8,986,157 26,958,472 13,479,236 6,739,618 3,369,809 10,109,428 5,054,714 2,527,357 7,582,072 3,791,036 1,895,518 947,759 2,843,278 1,421,639 4,264,918 2,132,459 6,397,378 3,198,689 9,596,068 4,798,034 2,399,017 7,197,052 3,598,526 1,799,263 5,397,790 2,698,895 8,096,686 4,048,343 12,145,030 6,072,515 18,217,546 9,108,773 27,326,320 13,663,160 6,831,580 3,415,790 1,707,895 5,123,686 2,561,843 7,685,530 3,842,765 11,528,296 5,764,148 2,882,074 1,441,037 4,323,112 2,161,556 1,080,778 540,389 1,621,168 810,584 405,292 202,646

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