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Atlas › Integer Profiles › Node 13,661,285

13,661,285

5 × 11 × 17 × 19 × 769
Deficient Odd Composite

13,661,285 factors as 5 × 11 × 17 × 19 × 769. Its 32 positive divisors give a proper-divisor sum of 6,297,115, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 19 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,958,400
Proper Divisor Sum 6,297,115
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #13661281 ← → #13661303

Radix Representation

Decimal 13661285
Binary 110100000111010001100101 (24 bits)
Octal 0o64072145
Hexadecimal 0xD07465

Divisor Catalog (32)

1 5 11 17 19 55 85 95 187 209 323 769 935 1,045 1,615 3,553 3,845 8,459 13,073 14,611 17,765 42,295 65,365 73,055 143,803 160,721 248,387 719,015 803,605 1,241,935 2,732,257 13,661,285

Collatz Trajectory (104 steps to reach 1)

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

13,661,285 40,983,856 20,491,928 10,245,964 5,122,982 2,561,491 7,684,474 3,842,237 11,526,712 5,763,356 2,881,678 1,440,839 4,322,518 2,161,259 6,483,778 3,241,889 9,725,668 4,862,834 2,431,417 7,294,252 3,647,126 1,823,563 5,470,690 2,735,345 8,206,036 4,103,018 2,051,509 6,154,528 3,077,264 1,538,632 769,316 384,658 192,329 576,988 288,494 144,247 432,742 216,371 649,114 324,557 973,672 486,836 243,418 121,709 365,128 182,564 91,282 45,641 136,924 68,462 34,231 102,694 51,347 154,042 77,021 231,064 115,532 57,766 28,883 86,650

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