λ
Zalai Atlas

13,831

13831
Deficient Odd Prime

13,831 has the prime decomposition 13831. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 13831
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 13,832
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #13829 ← → #13841

Radix Representation

Decimal 13831
Binary 11011000000111 (14 bits)
Octal 0o33007
Hexadecimal 0x3607

Divisor Catalog (2)

1 13,831

Collatz Trajectory (89 steps to reach 1)

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

13,831 41,494 20,747 62,242 31,121 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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