172,302

2 × 3 × 13 × 47²

172,302 has digital root 6. The neighboring primes are 172297 and 172307; its proper-divisor sum differs from the starting integer by 34,572.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 379,176

Proper Divisor Sum 206,874

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #172297 ← → #172307

Radix Representation

Decimal	172302
Binary	101010000100001110 (18 bits)
Octal	0o520416
Hexadecimal	0x2A10E

Divisor Catalog (24)

1 2 3 6 13 26 39 47 78 94 141 282 611 1,222 1,833 2,209 3,666 4,418 6,627 13,254 28,717 57,434 86,151 172,302

Collatz Trajectory (77 steps to reach 1)

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

172,302 86,151 258,454 129,227 387,682 193,841 581,524 290,762 145,381 436,144 218,072 109,036 54,518 27,259 81,778 40,889 122,668 61,334 30,667 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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