7,536,162

2 × 3 × 31² × 1307

7,536,162 is even and not a perfect square. Its factorization is 2 × 3 × 31^2 × 1307 and its 24 divisors sum to 15,586,128.

Prime Factor Structure

Factorization String 2 × 3 × 31^2 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,586,128

Proper Divisor Sum 8,049,966

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7536149 ← → #7536167

Radix Representation

Decimal	7536162
Binary	11100101111111000100010 (23 bits)
Octal	0o34577042
Hexadecimal	0x72FE22

Divisor Catalog (24)

1 2 3 6 31 62 93 186 961 1,307 1,922 2,614 2,883 3,921 5,766 7,842 40,517 81,034 121,551 243,102 1,256,027 2,512,054 3,768,081 7,536,162

Collatz Trajectory (111 steps to reach 1)

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

7,536,162 3,768,081 11,304,244 5,652,122 2,826,061 8,478,184 4,239,092 2,119,546 1,059,773 3,179,320 1,589,660 794,830 397,415 1,192,246 596,123 1,788,370 894,185 2,682,556 1,341,278 670,639 2,011,918 1,005,959 3,017,878 1,508,939 4,526,818 2,263,409 6,790,228 3,395,114 1,697,557 5,092,672 2,546,336 1,273,168 636,584 318,292 159,146 79,573 238,720 119,360 59,680 29,840 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330

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