108,667

13² × 643

For 108,667, the 6 positive divisors have a total of 117,852. Removing 108,667 leaves 9,185, which gives the deficient classification.

Prime Factor Structure

Factorization String 13^2 × 643

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 117,852

Proper Divisor Sum 9,185

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #108649 ← → #108677

Radix Representation

Decimal	108667
Binary	11010100001111011 (17 bits)
Octal	0o324173
Hexadecimal	0x1A87B

Divisor Catalog (6)

1 13 169 643 8,359 108,667

Collatz Trajectory (154 steps to reach 1)

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

108,667 326,002 163,001 489,004 244,502 122,251 366,754 183,377 550,132 275,066 137,533 412,600 206,300 103,150 51,575 154,726 77,363 232,090 116,045 348,136 174,068 87,034 43,517 130,552 65,276 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815

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