λ
Ratio Atlas

13,639,727

13639727
Deficient Odd Prime

13,639,727 factors as 13639727. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 329 steps.

Prime Factor Structure

Factorization String 13639727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 13,639,728
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #13639697 ← → #13639733

Radix Representation

Decimal 13639727
Binary 110100000010000000101111 (24 bits)
Octal 0o64020057
Hexadecimal 0xD0202F

Divisor Catalog (2)

Collatz Trajectory (329 steps to reach 1)

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

13,639,727 40,919,182 20,459,591 61,378,774 30,689,387 92,068,162 46,034,081 138,102,244 69,051,122 34,525,561 103,576,684 51,788,342 25,894,171 77,682,514 38,841,257 116,523,772 58,261,886 29,130,943 87,392,830 43,696,415 131,089,246 65,544,623 196,633,870 98,316,935 294,950,806 147,475,403 442,426,210 221,213,105 663,639,316 331,819,658 165,909,829 497,729,488 248,864,744 124,432,372 62,216,186 31,108,093 93,324,280 46,662,140 23,331,070 11,665,535 34,996,606 17,498,303 52,494,910 26,247,455 78,742,366 39,371,183 118,113,550 59,056,775 177,170,326 88,585,163 265,755,490 132,877,745 398,633,236 199,316,618 99,658,309 298,974,928 149,487,464 74,743,732 37,371,866 18,685,933

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