172,291

7 × 151 × 163

172,291 factors as 7 × 151 × 163. Its 8 positive divisors give a proper-divisor sum of 27,133, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 7 × 151 × 163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 199,424

Proper Divisor Sum 27,133

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #172283 ← → #172297

Radix Representation

Decimal	172291
Binary	101010000100000011 (18 bits)
Octal	0o520403
Hexadecimal	0x2A103

Divisor Catalog (8)

1 7 151 163 1,057 1,141 24,613 172,291

Collatz Trajectory (165 steps to reach 1)

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

172,291 516,874 258,437 775,312 387,656 193,828 96,914 48,457 145,372 72,686 36,343 109,030 54,515 163,546 81,773 245,320 122,660 61,330 30,665 91,996 45,998 22,999 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352

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