8447
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8448
- 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
- 8446
- Möbius Function
- -1
- Radical
- 8447
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1057
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=42A024784
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=42A024846
- Primes p such that p+1 is palindromic.at n=25A028981
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 91.at n=14A031589
- Multiplicity of highest weight (or singular) vectors associated with character chi_94 of Monster module.at n=38A034482
- a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1).at n=23A037165
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=25A045075
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=24A052356
- Prime number spiral (clockwise, Southwest spoke).at n=16A054568
- Primes p such that x^41 = 2 has no solution mod p.at n=24A059236
- Integer part of log(n^n)^(1 + log(log(1 + n))).at n=21A062479
- Nearest integer to log(n^n)^(1 + log(log(1 + n))).at n=21A062480
- Numbers k such that 45^k - 44^k is prime or a strong pseudoprime.at n=6A062611
- Primes with either no internal digits or all internal digits are 4.at n=50A069679
- Sum of square displacements over all self-avoiding n-step walks on a square lattice with the first step specified. Numerator of mean square displacement s(n)=a(n)/A046661(n).at n=6A078797
- Primes n*A092961(n) + 1.at n=40A092963
- Primes of the form p*q - p - q, where p and q are two successive primes.at n=8A096345
- Numbers k such that (30^k - 1)/29 is prime.at n=6A098438
- Positions of 10 in A104807.at n=5A104808
- Primes from merging of 4 successive digits in decimal expansion of exp(Pi).at n=10A105009