81,673

23 × 53 × 67

81,673 factors as 23 × 53 × 67. Its 8 positive divisors give a proper-divisor sum of 6,455, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 23 × 53 × 67

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 88,128

Proper Divisor Sum 6,455

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #81671 ← → #81677

Radix Representation

Decimal	81673
Binary	10011111100001001 (17 bits)
Octal	0o237411
Hexadecimal	0x13F09

Divisor Catalog (8)

1 23 53 67 1,219 1,541 3,551 81,673

Collatz Trajectory (94 steps to reach 1)

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

81,673 245,020 122,510 61,255 183,766 91,883 275,650 137,825 413,476 206,738 103,369 310,108 155,054 77,527 232,582 116,291 348,874 174,437 523,312 261,656 130,828 65,414 32,707 98,122 49,061 147,184 73,592 36,796 18,398 9,199 27,598 13,799 41,398 20,699 62,098 31,049 93,148 46,574 23,287 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109

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