8429
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8430
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8428
- Möbius Function
- -1
- Radical
- 8429
- 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
- 158
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1054
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=10A004929
- Number of 4-level rooted trees with n leaves.at n=10A007713
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=7A020416
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=14A023290
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=7A027864
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 18 (most significant digit on right and removing all least significant zeros before concatenation).at n=3A029535
- Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=35A035965
- Numerators of continued fraction convergents to sqrt(681).at n=6A042308
- Digitally balanced numbers in both bases 2 and 3.at n=7A049361
- Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=39A050339
- Euler transform applied three times to partition triangle A008284.at n=54A055886
- Primes p such that x^43 = 2 has no solution mod p.at n=24A059243
- a(n) = (9*n^2 + 5*n + 2)/2.at n=43A064225
- a(n) is the smallest prime p such that p*n! +- 1 are twin primes.at n=47A064998
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=43A073651
- Balanced primes of order two.at n=41A082077
- Balanced primes of order eight.at n=13A096700
- Balanced primes (A090403) of index 2.at n=41A096706
- Primes A005382(n) + A005384(n) - 1 with a twin prime A005382(n) + A005384(n) + 1.at n=13A099109
- Primes of the form 3*p^2+2, where p is prime.at n=3A103565