8917
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9196
- Proper Divisor Sum (Aliquot Sum)
- 279
- 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
- 8640
- Möbius Function
- 1
- Radical
- 8917
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pseudoprimes to base 60.at n=23A020188
- Strong pseudoprimes to base 60.at n=10A020286
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=18A020380
- Fibonacci sequence beginning 1, 14.at n=15A022104
- a(n) = n*(13*n + 1)/2.at n=37A022271
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 20.at n=3A031608
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 17.at n=7A051982
- Minimum positive numerator of s_1/1 + ... + s_n/n in lowest terms, where each s_i equals 1 or -1.at n=22A061195
- Minimum positive numerator of s_1/1 + ... + s_n/n in lowest terms, where each s_i equals 1 or -1.at n=23A061195
- Largest proper divisor of the n-th Carmichael number (A002997).at n=17A081703
- Convolution of odd primes with themselves.at n=16A084370
- Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 2.at n=35A101307
- Number of ordered trees with n edges and having no branches of length 2.at n=11A101308
- a(n) = (n^3*a(n-1) - 1)/(n - 1) for n >= 2, with a(0) = 1, a(1) = 4.at n=4A141827
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17.at n=25A146340
- Positive numbers y such that y^2 is of the form x^2+(x+833)^2 with integer x.at n=29A156835
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=26A163562
- Numbers k such that 9*k! + 1 is prime.at n=24A180626
- a(n) = n^2 + 731*n + 1.at n=12A180919
- Number of 2 X 2 nonsingular 0..n matrices with rows and columns in increasing order.at n=11A183762