14731
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14732
- 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
- 14730
- Möbius Function
- -1
- Radical
- 14731
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1724
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Discriminants of totally complex sextic fields (negated).at n=7A023687
- Primes of the form 30*p + 1 where p is also prime.at n=36A051646
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=30A060261
- Primes of the form 6*k^2 + 6*k + 31.at n=42A060844
- Successive left concatenation of floor(k/2) beginning with n until we reach 1.at n=13A068657
- Primes in A068657.at n=5A068658
- Greatest prime factor of n^n - (n-1)^(n-1).at n=6A068955
- Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=21A078856
- The quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} are listed in lexicographic order; for each quintuple, this sequence lists the smallest prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5), if such a prime exists.at n=30A078872
- Sorted version of A078872.at n=34A078873
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,6,6).at n=4A078964
- Row sums of the triangle described in A082200.at n=21A082203
- Antidiagonal sums of triangle A093729, which enumerates the number of nodes in the tree of tournament sequences.at n=7A093730
- Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=15A098797
- Primes of the form 210k + 31.at n=33A140846
- Primes congruent to 20 mod 47.at n=36A142371
- Primes congruent to 50 mod 53.at n=32A142580
- Primes congruent to 40 mod 59.at n=26A142767
- Primes congruent to 30 mod 61.at n=27A142828
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 0), (0, -1, 0), (1, 1, 0)}.at n=9A149115