8497
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 323
- 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
- 8176
- Möbius Function
- 1
- Radical
- 8497
- 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
- 127
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=10A020388
- Number of proper factorizations of p1^n*p2^5, where p1 and p2 are distinct primes.at n=12A031128
- "BFJ" (reversible, size, labeled) transform of 1,3,5,7...at n=7A032041
- Composite numbers whose divisors (except 1) all contain the digit 9.at n=10A062680
- Least k for the Theodorus spiral to complete n revolutions.at n=28A072895
- Number of anisohedral polyhexes with n cells.at n=16A075215
- Sum of n-th prime squared and n-th perfect square.at n=23A106587
- Zero followed by partial sums of A008865.at n=29A145067
- Fibonacci-x^x where x is largest integer such that x^x is smaller than Fibonacci.at n=27A174255
- Total number of parts that are partition numbers A000041 in all partitions of n.at n=23A183088
- Number of distinct sums of reciprocals of parts of partitions of n.at n=35A212187
- Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-min{w,x,y,z}; i.e., the range of (w,x,y,z) is its first term.at n=16A212744
- a(n) is the least value of k such that the decimal expansion of n^k contains nine consecutive identical digits.at n=30A217164
- Difference between 10^n and the first prime of gap 6 > 10^n.at n=39A227435
- Solution (a(n)) of the complementary equation in Comments.at n=33A298877
- Number of (not necessarily maximal) cliques in the n X n antelope graph.at n=43A308600
- Starting at n, a(n) is the difference of the number of times we move away from zero from positive spots and the number of times we move away from zero from negative spots according to the following rules. On the k-th step (k=1,2,3,...) move a distance of k in the direction of zero. If the number landed on has been landed on before, move a distance of k away.at n=20A324688
- Irregular table read by rows, T(n, k) is the rank of the k-th Seidel permutation of {1,...,n}, permutations sorted in lexicographical order.at n=15A347600
- Number of tree interval posets of permutations of size n, considered up to isomorphism.at n=12A373456