13477
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13478
- 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
- 13476
- Möbius Function
- -1
- Radical
- 13477
- 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
- 182
- 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
- 1598
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=35A010003
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=31A020384
- Numbers n such that 115*2^n-1 is prime.at n=20A050583
- 6 consecutive primes differ by 2n or more starting at a(n).at n=4A054689
- n consecutive primes differ by 10 or more starting at a(n).at n=4A054695
- n consecutive primes differ by 10 or more starting at a(n).at n=5A054695
- n consecutive primes differ by 10 or more starting at a(n).at n=6A054695
- n consecutive primes differ by 10 or more starting at a(n).at n=7A054695
- n consecutive primes differ by 10 or more starting at a(n).at n=8A054695
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=29A054824
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=28A054825
- Third term of weak prime sextet: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=1A054830
- Smallest k such that k*n^n is a palindrome, or 0 if none exists.at n=6A087366
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=23A103807
- n+p(n)+p(p(n)) is a square, where p(n) is the n-th prime.at n=7A116011
- Number of permutations of length n which avoid the patterns 321, 1342, 1423.at n=16A116730
- Primes p such that the decimal expansion of p remains prime under two iterations of base-10 to base-2 conversions.at n=6A123266
- Primes of the form 210k + 37.at n=30A140847
- Primes congruent to 29 mod 41.at n=40A142226
- Primes congruent to 18 mod 43.at n=35A142267