14831
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14832
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14830
- Möbius Function
- -1
- Radical
- 14831
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 239
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1738
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=33A054812
- Primes p whose reciprocal has period (p-1)/10.at n=22A056215
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=19A060339
- Primes which can be represented as the sum of a number and its reverse.at n=38A072382
- Numbers n for which there are exactly four k such that n = k + reverse(k).at n=37A072428
- Number of subsets of {1, ..., n} that are not sum-free.at n=14A088809
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=24A114923
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=23A117458
- Primes with prime "Look And Say" descriptions from right to left (irrespective of method A or method B).at n=35A127179
- a(n) = pq + pr + qr with p = prime(n), q = prime(n+1), and r = prime(n+2).at n=18A127345
- Primes in A127345.at n=9A127346
- Primes congruent to 26 mod 47.at n=40A142377
- Primes congruent to 44 mod 53.at n=30A142574
- Primes congruent to 36 mod 55.at n=39A142626
- Primes congruent to 22 mod 59.at n=29A142749
- Primes congruent to 8 mod 61.at n=31A142806
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 12 : primes in A146336.at n=16A146357
- Triangle T(n,k) read by rows: Sum_{k=0..binomial(n,2)} T(n,k)*q^k = n!*Sum_{pi} faq(n,q)/Product_{i=1..n} e(i)!*faq(i,q)^e(i), where pi runs over all nonnegative integer solutions to e(1) + 2*e(2) + ... + n*e(n) = n and faq(i,q) = Product_{j=1..i} (q^j-1)/(q-1), i = 1..n.at n=34A152474
- Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes.at n=31A156116
- a(n) = 529*n^2 - 746*n + 263.at n=5A156842