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Atlas › Integer Profiles › Node 13,884,398

13,884,398

2 × 11 × 372 × 461
Deficient Even Composite

13,884,398 factors as 2 × 11 × 37^2 × 461. Its 24 positive divisors give a proper-divisor sum of 9,516,826, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 11 × 37^2 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,401,224
Proper Divisor Sum 9,516,826
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #13884397 ← → #13884407

Radix Representation

Decimal 13884398
Binary 110100111101101111101110 (24 bits)
Octal 0o64755756
Hexadecimal 0xD3DBEE

Divisor Catalog (24)

1 2 11 22 37 74 407 461 814 922 1,369 2,738 5,071 10,142 15,059 17,057 30,118 34,114 187,627 375,254 631,109 1,262,218 6,942,199 13,884,398

Collatz Trajectory (73 steps to reach 1)

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

13,884,398 6,942,199 20,826,598 10,413,299 31,239,898 15,619,949 46,859,848 23,429,924 11,714,962 5,857,481 17,572,444 8,786,222 4,393,111 13,179,334 6,589,667 19,769,002 9,884,501 29,653,504 14,826,752 7,413,376 3,706,688 1,853,344 926,672 463,336 231,668 115,834 57,917 173,752 86,876 43,438 21,719 65,158 32,579 97,738 48,869 146,608 73,304 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68

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