λ
Integer Codex

10,194

2 × 3 × 1699
Abundant Even Composite

For 10,194, the 8 positive divisors have a total of 20,400. Removing 10,194 leaves 10,206, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 1699
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 20,400
Proper Divisor Sum 10,206
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #10193 ← → #10211

Radix Representation

Decimal 10194
Binary 10011111010010 (14 bits)
Octal 0o23722
Hexadecimal 0x27D2

Divisor Catalog (8)

1 2 3 6 1,699 3,398 5,097 10,194

Collatz Trajectory (179 steps to reach 1)

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

10,194 5,097 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330

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