8537
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8538
- 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
- 8536
- Möbius Function
- -1
- Radical
- 8537
- 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
- 171
- 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
- 1064
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=9A020408
- a(n+1) = a(n) converted to base 9 from base 8 (written in base 10).at n=39A023391
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=20A052163
- Primes q of form q=10p+7, where p is also prime.at n=39A055783
- Numbers k such that 3*10^k + 1*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A056704
- Row sums of partition triangle A026820.at n=19A058397
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=42A059331
- Lesser of twin primes whose average is 6 times a prime.at n=25A060213
- Polynomial extrapolation of 2, 3, 5, 7, 11.at n=18A061165
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=33A063352
- Prime(n) and prime(n+4) use the same digits.at n=10A069796
- a(n) = A077696(n+1)/A077696(n).at n=17A077697
- Least m such that P - m is prime, where P is the n-th perfect number.at n=19A078097
- Numbers n such that A003313(n) = A003313(2n).at n=35A086878
- Primes p such that 2^j+p^j are primes for j=0,1,2,4.at n=7A094487
- Primes p such that 2^j+p^j are primes for j=0,2,4,64.at n=2A094490
- Primes from merging of 4 successive digits in decimal expansion of e.at n=31A104845
- Primes p = prime(k) such that p+2 and prime(k+7)-2 are both prime numbers.at n=33A105414
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=20A107312
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=22A116886