13451
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13452
- 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
- 13450
- Möbius Function
- -1
- Radical
- 13451
- 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
- 138
- 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
- 1594
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=32A014426
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.at n=25A015635
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=27A023271
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=34A023282
- Primes of form k^2 - 5.at n=25A028877
- Lists of 4 primes in arithmetic progression; common difference 6.at n=32A033449
- Initial prime in set of 4 consecutive primes with common difference 6.at n=8A033451
- Numerators of continued fraction convergents to sqrt(112).at n=9A041202
- Numerators of continued fraction convergents to sqrt(664).at n=7A042276
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=28A052232
- Primes whose digits can be rearranged to give the initial terms of the decimal expansion of Pi.at n=4A052493
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=8A054800
- Smallest prime in the first occurrence of a nondecreasing difference for a set of exactly n successive primes.at n=6A068843
- Primes p such that p, p+6, p+12, p+18 are consecutive primes and p=6*k+5 for some k.at n=4A090834
- Sequence coincides with union of its first and 2nd binomial transforms, ordered by size, with a(0)=1.at n=18A090859
- Duplicate of A033451.at n=8A099734
- In decimal expansion of exp(Pi), positions of 10-digit partitions containing exactly 10 distinct digits.at n=1A104791
- Mountain primes.at n=36A134951
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=49A139602
- Primes of the form 210n+11.at n=32A140840