162,309

3 × 7 × 59 × 131

162,309 factors as 3 × 7 × 59 × 131. Its 16 positive divisors give a proper-divisor sum of 91,131, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 3 × 7 × 59 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 253,440

Proper Divisor Sum 91,131

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #162293 ← → #162343

Radix Representation

Decimal	162309
Binary	100111101000000101 (18 bits)
Octal	0o475005
Hexadecimal	0x27A05

Divisor Catalog (16)

1 3 7 21 59 131 177 393 413 917 1,239 2,751 7,729 23,187 54,103 162,309

Collatz Trajectory (90 steps to reach 1)

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

162,309 486,928 243,464 121,732 60,866 30,433 91,300 45,650 22,825 68,476 34,238 17,119 51,358 25,679 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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