122,344

2³ × 41 × 373

For 122,344, the 16 positive divisors have a total of 235,620. Removing 122,344 leaves 113,276, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 41 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 235,620

Proper Divisor Sum 113,276

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #122327 ← → #122347

Radix Representation

Decimal	122344
Binary	11101110111101000 (17 bits)
Octal	0o356750
Hexadecimal	0x1DDE8

Divisor Catalog (16)

1 2 4 8 41 82 164 328 373 746 1,492 2,984 15,293 30,586 61,172 122,344

Collatz Trajectory (180 steps to reach 1)

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

122,344 61,172 30,586 15,293 45,880 22,940 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

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