81,745

5 × 16349

81,745 factors as 5 × 16349. Its 4 positive divisors give a proper-divisor sum of 16,355, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 5 × 16349

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 98,100

Proper Divisor Sum 16,355

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #81737 ← → #81749

Radix Representation

Decimal	81745
Binary	10011111101010001 (17 bits)
Octal	0o237521
Hexadecimal	0x13F51

Divisor Catalog (4)

1 5 16,349 81,745

Collatz Trajectory (94 steps to reach 1)

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

81,745 245,236 122,618 61,309 183,928 91,964 45,982 22,991 68,974 34,487 103,462 51,731 155,194 77,597 232,792 116,396 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670

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