13,920,322

2 × 13 × 61 × 67 × 131

13,920,322 factors as 2 × 13 × 61 × 67 × 131. Its 32 positive divisors give a proper-divisor sum of 9,453,182, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 13 × 61 × 67 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,373,504

Proper Divisor Sum 9,453,182

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13920299 ← → #13920323

Radix Representation

Decimal	13920322
Binary	110101000110100001000010 (24 bits)
Octal	0o65064102
Hexadecimal	0xD46842

Divisor Catalog (32)

Collatz Trajectory (223 steps to reach 1)

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

13,920,322 6,960,161 20,880,484 10,440,242 5,220,121 15,660,364 7,830,182 3,915,091 11,745,274 5,872,637 17,617,912 8,808,956 4,404,478 2,202,239 6,606,718 3,303,359 9,910,078 4,955,039 14,865,118 7,432,559 22,297,678 11,148,839 33,446,518 16,723,259 50,169,778 25,084,889 75,254,668 37,627,334 18,813,667 56,441,002 28,220,501 84,661,504 42,330,752 21,165,376 10,582,688 5,291,344 2,645,672 1,322,836 661,418 330,709 992,128 496,064 248,032 124,016 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717

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