13,680,969

3 × 19 × 240017

13,680,969 factors as 3 × 19 × 240017. Its 8 positive divisors give a proper-divisor sum of 5,520,471, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 19 × 240017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 19,201,440

Proper Divisor Sum 5,520,471

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #13680949 ← → #13681033

Radix Representation

Decimal	13680969
Binary	110100001100000101001001 (24 bits)
Octal	0o64140511
Hexadecimal	0xD0C149

Divisor Catalog (8)

1 3 19 57 240,017 720,051 4,560,323 13,680,969

Collatz Trajectory (161 steps to reach 1)

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

13,680,969 41,042,908 20,521,454 10,260,727 30,782,182 15,391,091 46,173,274 23,086,637 69,259,912 34,629,956 17,314,978 8,657,489 25,972,468 12,986,234 6,493,117 19,479,352 9,739,676 4,869,838 2,434,919 7,304,758 3,652,379 10,957,138 5,478,569 16,435,708 8,217,854 4,108,927 12,326,782 6,163,391 18,490,174 9,245,087 27,735,262 13,867,631 41,602,894 20,801,447 62,404,342 31,202,171 93,606,514 46,803,257 140,409,772 70,204,886 35,102,443 105,307,330 52,653,665 157,960,996 78,980,498 39,490,249 118,470,748 59,235,374 29,617,687 88,853,062 44,426,531 133,279,594 66,639,797 199,919,392 99,959,696 49,979,848 24,989,924 12,494,962 6,247,481 18,742,444

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